SYMPOSIUM PROGRAMME - 16. ULUSLARARASI GEOMETRİ …16geosem.cbu.edu.tr/.../assets/SymposiumProgramme.pdf · 1 SYMPOSIUM PROGRAMME July 4, 2018 Wednesday 08.30-10.00 Registration

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SYMPOSIUM PROGRAMME

July 4, 2018 Wednesday 08.30-10.00 Registration 10.00-11.00 Opening Ceremony 11.00-11.15 Coffee Break 11.15-12.00 Invited Speaker: Prof. Adela MIHAI

“Modern Topics in the Geometry of Einstein Spaces” 12.00-12.15 Coffee Break 12.15-13.00 Invited Speaker: Prof. Mehmet Ali GÜNGÖR

“Split Quaternions and Hyperbolic Spinor Representation of Transformations” 13.00-14.30 Lunch 14.30-16.10 Oral Presentations-I 16.10-16.30 Coffee Break 16.30-17.50 Oral Presentations-II 17.50-18.00 Coffee Break 18.00-18.30 Seminar: Prof. Rüstem KAYA

“When a Mathematician Retires!” 20.30-22.00 Dinner

July 5, 2018 Thursday 09.30-10.50 Oral Presentations-I 10.50-11.10 Coffee Break 11.10-11.40 Seminar: Prof. Osman GÜRSOY

“Mathematical Reasoning in Teaching and Education” 11.40-11.55 Coffee Break 11.55-12.55 Invited Speaker: Prof. Konrad POLTHIER

“Branched Covering Surfaces” 13.00-14.30 Lunch 14.30-15.30 Invited Speaker: Prof. Hasan Hüseyin UĞURLU

“The Principle of Transference Between Real and Dual Lorentzian Spaces and Dual Lorentzian Angles”

15.30-15.45 Coffee Break 15.45-17.25 Oral Presentations-II 17.25-17.40 Coffee Break 17.40-18.40 Seminar: Prof. H. Hilmi HACISALİHOĞLU

“The Letter Abraham Lincoln Wrote to the Teacher of His Son” 20.30-22.00 Gala Dinner

July 6, 2018 Friday 09.30-11.10 Oral Presentations-I 11.10-11.30 Coffee Break 11.30-12.30 Invited Speaker: Prof. Rakesh KUMAR

“Some Characterization Theorems for Lightlike Hypersurfaces of Semi-Riemannian Manifolds Admitting a Semi-symmetric Non-metric Connection”

13.00-14.30 Lunch 14.30-16.10 Oral Presentations-II 16.10-16.25 Coffee Break 16.25-17.45 Oral Presentations-III 17.45-18.00 Coffee Break 18.00-18.40 Closing Meeting 20.30-22.00 Dinner

July 7, 2018 Saturday 08.30 Sardis (Salihli) and Manisa City Tour

*Poster presentations will be presented at 14.30/July 4-5-6, 2018.

JULY 4, 2018 WEDNESDAY

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14.30 – 16.10

Conference Hall Chair: Prof. Bayram Şahin & Vice-Chair: Assist. Prof. Ramazan Sarı

Author(s) Abstract Title

Sibel Turanlı, Aydın Gezer, Elif Altıntaş

Nearly Metallic Kähler Manifolds

Cengizhan Murathan, Bayram Şahin

A Study of Wintgen Like Inequality for Submanifolds In Statistical Warped Product Manifolds

Pelin Tekin, Gülhan Ayar, Nesip Aktan

A New Class of Nearly Kenmotsu Manifolds

Ramazan Sarı, Elif Aksoy Sarı, İnan Ünal

Some Properties Generic Submanifolds of LP-Cosymplectic Manifold

Ramazan Sarı, Elif Aksoy Sarı, Mehmet Akif Akyol

Some Curvature Properties of CR-Submanifolds of a Para Sasakian Manifold

14.30 – 16.10

Hall 1 Chair: Prof. Osman Gürsoy & Vice-Chair: Assoc. Prof. Betül Bulca


Nergiz Poyraz, Erol Yaşar, Erol Kılıç

Half Lightlike Submanifolds of a Golden Semi-Riemannian Manifold

Olgun Durmaz, Buşra Aktaş, Halit Gündoğan

Constraint Manifolds for 2R Open Chain on Lorentz Plane

Buşra Aktaş, Olgun Durmaz, Halit Gündoğan

Constraint Manifolds of 2R Spherical Open Chain in Lorentz Space

Merve Atasever, Sezgin Altay Demirbağ

On the Classification of Generalized m-Quasi Einstein Manifolds

Nergiz Poyraz, Erol Kılıç, Erol Yaşar

Screen Conformal Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold

14.30 – 16.10

Hall 2 Chair: Prof. Mehmet Sezer & Vice-Chair: Assist. Prof. Süleyman Şenyurt


Tuba Ağırman Aydın, Hüseyin Kocayiğit, Mehmet Sezer

A Special Interpretation of the Concept "Constant Breadth" for a Space Curve

Esma Dirican, Yaşar Sözen Reidemeister Torsion of Orientable Punctured Surfaces

Muradiye Çimdiker, Yasin Ünlütürk

On Timelike Surfaces of Constant Breadth

Sümeyye Gür, Süleyman Şenyurt, Luca Grilli

The Parallel Equidistant Ruled Surfaces on the Dual Space

Burak Şahiner Some Associated Curves of Binormal Indicatrix of a Curve in Euclidean 3-Space


3

14.30 – 16.10

Hall 3 Chair: Prof. Abdullah Mağden & Vice-Chair: Assist. Prof. İnan Ünal


Haşim Çayır, Süleyman Şenyurt Some Research Notes on Lifting of Evolute Curve on Tangent Space 𝑇𝑅3

Abdullah Mağden, Aydın Gezer, Kübra Karaca

A Study on the Deformed Second Lift Metric on the Second Order Tangent Bundle

Aysel Turgut Vanlı, Keziban Avcu, İnan Ünal

On Complex Sasakian Manifolds Satisfying Certain Curvature Conditions

Semra Zeren, Ahmet Yıldız Semi-slant Submanifolds with Schouten-Van Kampen Connection

Elif Demirci, Basri Çelik Line Intersections on Some Projective Klingenberg Planes

14.30 – 16.10

Hall 4 Chair: Prof. Cengizhan Murathan & Vice-Chair: Assoc. Prof. Ayşe Funda Sağlamer


İrem Küpeli Erken Yamabe Solitons on Three-Dimensional Normal Almost Paracontact Metric Manifolds

Nesrin Çalışkan, Ayşe Funda Sağlamer, Nurten Kılıç

On the Normality Conditions of Almost Kenmotsu Finsler Structures on Vector Bundles

Ayşe Funda Sağlamer, Nesrin Çalışkan, Nurten Kılıç

On the Curvatures of Indefinite Kenmotsu Finsler Manifolds

Nurten Kılıç, Ayşe Funda Sağlamer, Nesrin Çalışkan

Contact Pseudo-Metric Structures on Indefinite Finsler Manifolds

Aziz Yazla, İrem Küpeli Erken, Cengizhan Murathan

Almost Cosymplectic Statistical Manifolds

14.30 – 16.10

Hall 5 Chair: Prof. Ömer Tarakcı & Vice-Chair: Assoc. Prof. Nurettin Cenk Turgay


Mehmet Aydınalp, Mustafa Kazaz, Hasan Hüseyin Uğurlu

The Inverse Kinematics of Rolling Contact Motion of Timelike Surfaces in the Direction of Spacelike Unit Tangent Vector with Point Contact

Arif Salimov, Habil Fattayev g-lifts of Covariant Tensor Fields in the Coframe Bundle

Semra Yurttançıkmaz, Ömer Tarakcı, Aydın Gezer

On the Curvatures Properties of Tangent Bundle of Hypersurfaces in a Euclidean Space

Mehmet Aydınalp, Mustafa Kazaz, Hasan Hüseyin Uğurlu

The Inverse Kinematics of Rolling Contact Motion of Timelike Surfaces in the Direction of Timelike Unit Tangent Vector with Point Contact


4

14.30 – 16.10

Hall 6 Chair: Prof. Mehmet Ali Güngör & Vice-Chair: Assoc. Prof. Feyza Esra Erdoğan


Rabia Çakan On gh-lifts of Some Tensor Fields

Aysel Turgut Vanlı, Dilek Özdemir, İnan Ünal

On Normal Complex Contact Metric Manifolds Admitting a Semi-symmetric Non-Metric Connection

Feyza Esra Erdoğan, Cumali Yıldırım, Esra Karataş

Geometry of Lightlike Submanifolds of Golden Semi Riemannian Manifolds

Nergiz Poyraz, Burçin Doğan Inequalities on Screen Homothetic Lightlike Hypersurfaces of Lorentzian Product Manifolds with Quarter-Symmetric Non-metric Connection

Salih Çelik, Sultan A. Çelik, İlknur Temli

The Symmetry Group of the Differential Calculus on 𝐹(𝑅𝑞(1|1))

14.30 – 16.10

Hall 7 Chair: Prof. Mehmet Bektaş & Vice-Chair: Assoc. Prof. Murat Babaarslan


Figen Çilingir Fractals of Infinite Area

Gökşen Bacak Turan Stability Measures of Sierpinski Fractal

Derya Doğan Durgun, Ali Bagatarhan

ACN On Geometric Graphs

Fatma Özen Erdoğan, Abdurrahman Dayıoğlu, Atilla Akpınar, Basri Çelik

On Graphs Obtained from Projective Planes

Mustafa Yeneroğlu, Vedat Asil, Talat Körpınar, Selçuk Baş

On Some Surfaces by Ribbon Frame

16.30 – 17.50

Conference Hall Chair: Prof. Adela Mihai & Vice-Chair: Assoc. Prof. Nurettin Cenk Turgay


Marian Ioan Munteanu Contact CR-submanifolds in Spheres

Mehmet Bektaş, Zuhal Küçükarslan Yüzbaşı, Stephen C. Anco

Geometric Inextensible Timelike Curve Flows and mKDV Soliton Equation in SO(n,1)/SO(n-1,1)

Fernando Manfio, Nurettin Cenk Turgay

A Note on Isometric Immersions into 𝕊𝒏 × ℝ


5

16.30 – 17.50

Hall 1 Chair: Prof. Mahmut Ergüt & Vice-Chair: Assist. Prof. Zeynep Can


Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt

Some Results for CA Surfaces with Higher Codimension

Zeynep Can, Leman Yalçın, Zeynep Çolak

Some Distance Formulae in 3-Dimensional Truncated Octahedron Space

Gülsüm Yeliz Şentürk, Salim Yüce, Nuri Kuruoğlu

A Study on Mannheim Offsets of Ruled Surfaces

Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt

On CPD Surfaces in Euclidean Spaces

16.30 – 17.50

Hall 2 Chair: Prof. Aydın Gezer & Vice-Chair: Assist. Prof. Burcu Bektaş Demirci


Sinem Güler, Sezgin Altay Demirbağ

Generalized Ricci Solitons on Lorentzian Twisted Product

Burcu Bektaş Demirci Ricci Solitons on Lorentzian Hypersurfaces of Pseudo-Euclidean Spaces

Sultan A. Çelik, İlknur Temli On the Differential Geometry of 𝐺𝐿𝑝,𝑞(1|1)

Burçin Doğan, Bayram Şahin, Erol Yaşar

Screen Transversal Cauchy Riemann Lightlike Submanifolds of Indefinite Kaehler Manifolds

16.30 – 17.50

Hall 3 Chair: Prof. H. Hilmi Hacısalihoğlu & Vice-Chair: Assist. Prof. Haşim Çayır


Fatma Karakuş , Yusuf Yaylı The Fermi-Walker Derivative on the Binormal Indicatrix of Spacelike Curve

Haşim Çayır, Yasemin Soylu Some Research Results with respect to Lifts of Structure on Cotangent Bundle

Mustafa Yeneroğlu, Vedat Asil, Talat Körpınar, Selçuk Baş

On Fermi-Walker Derivative with Modified Frame

Fatma Karakuş The Fermi-Walker Derivative on Spacelike Surfaces


6

16.30 – 17.50

Hall 4 Chair: Prof. Cumali Ekici & Vice-Chair: Assoc. Prof. Ayşe Funda Sağlamer


Nurten Kılıç, Ayşe Funda Sağlamer, Nesrin Çalışkan

𝛆-Sasakian Structures on Indefinite Finsler Manifolds

Nesrin Çalışkan, Ayşe Funda Sağlamer, Nurten Kılıç

Mixed Totally Geodesic Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Ayşe Funda Sağlamer, Nesrin Çalışkan, Nurten Kılıç

Sasakian Lorentzian Structures on Indefinite Finsler Manifolds

16.30 – 17.50

Hall 5 Chair: Prof. Hasan Hüseyin Uğurlu & Vice-Chair: Assoc. Prof. Yasin Ünlütürk


Nilgün Sönmez, Murat Babaarslan

Differential Equations of Space-Like Loxodromes on Canal Surfaces in Minkowski 3-Space

Muradiye Çimdiker, Yasin Ünlütürk

The Motivation for the Space-Like Surface of Constant Breadth

Sümeyye Gür, Süleyman Şenyurt, Luca Grilli

The Gauss Curvatures of the Dual Parallel Equidistant Ruled Surfaces

Murat Babaarslan Loxodromes on Helicoidal and Canal Surfaces in Euclidean 4-Space

16.30 – 17.50

Hall 6 Chair: Prof. Murat Tosun & Vice-Chair: Assoc. Prof. Betül Bulca


Sümeyra Uçar, Nihal Yılmaz Özgür

On the Invariants of Finite Blaschke Products

Kadri Arslan, Betül Bulca, Ali Özdemir, Bahattin Bozdağ, Canan Özdemir

A Geometric Modeling of Tracheal Elements of Chard (Beta vulgaris var. cicla L.) Leaf

Ali Özdemir, Betül Bulca, Bahattin Bozdağ, Canan Özdemir, Kadri Arslan

Geometric Modeling and Statistical Comparison of Some Sage (Salvia L.) Glandular Hairs

Sümeyra Uçar, Nihal Yılmaz Özgür

The Golden Ratio and Finite Blaschke Products of Degree Two and Three


7

16.30 – 17.50

Hall 7 Chair: Prof. Mustafa Düldül & Vice-Chair: Assoc. Prof. Şeyda Kılıçoğlu


Fatih Çelik, Mustafa Düldül Computation of the Lines of Curvature of Parametric Hypersurfaces in 𝐸4

Mustafa Dede, Hatice Tozak, Cumali Ekici

Timelike Conchoid Curves in Minkowski Plane

Şeyda Kılıçoğlu, Süleyman Şenyurt

An Examination on Curves with Common Principal Normal and Darboux Vectors in 𝐸3

Faik Babadağ Real matrix representations for Tessarine Numbers

JULY 5, 2018 THURSDAY

8

09.30 – 10.50

Conference Hall Chair: Prof. Mohammad Hasan Shahid & Vice-Chair: Assoc. Prof. Yasin Ünlütürk


Muradiye Çimdiker, Cumali Ekici, Mustafa Dede

Intrinsic Equations for a Generalized Relaxed Elastic Line Due to the B-Darboux Frame on an Oriented Surface

Süleyman Şenyurt, Abdussamet Çalışkan

A New Approach on Dual Spherical Curves and Surfaces

Ana-Irına Nistor Recent Developments on Magnetic Curves

Yasin Ünlütürk , Süha Yılmaz On the Principal Normal and Binormal Spherical Indicatrices of a Time-like W-Curve on Pseudohyperbolic Space 𝐻0

3

09.30 – 10.50

Hall 1 Chair: Prof. Rüstem Kaya & Vice-Chair: Assist. Prof. Mehmet Akif Akyol


Mehmet Akif Akyol Conformal Semi-slant Submersions with Total Space a Kahler Manifold

Yasemin Soylu The Weighted Ricci Curvatures and Compactness on Finsler Manifolds

Şaban Güvenç, Cihan Özgür On a Class of Slant Curves in S-manifolds

Mehmet Akif Akyol, Ye-Lin Ou Biharmonic Riemannian Submersions

09.30 – 10.50

Hall 2 Chair: Prof. H. Hilmi Hacısalihoğlu & Vice-Chair: Assist. Prof. Erhan Güler


Çağla Ramis, Yusuf Yaylı An Alternative Approach to Tubular Surfaces

Erhan Güler, H. Hilmi Hacısalihoğlu

Möbius-Type Hypersurface in 4-Space

Fatma Almaz, Mihriban Alyamaç Külahçı

A Study on the Rotated Surfaces in Galilean Space

Çağla Ramis, Esma Demir Çetin, Yusuf Yaylı

Developable Surfaces with k-Order Frame


9

09.30 – 10.50

Hall 3 Chair: Prof. Murat Tosun & Vice-Chair: Assist. Prof. Faik Babadağ


Faik Babadağ Some Properties of Bicomplex Tribonacci and Tribonacci-Lucas Numbers

Kemal Gökhan Nalbant, Salim Yüce

Determinant of Dual Quaternion Matrices and Matlab Applications

Erhan Ata, Ümit Ziya Savcı Approaching Generalized Quaternions from Matrix Algebra

Faik Babadağ Generalized Tessarine Numbers and Homothetic Motions

09.30 – 10.50

Hall 4 Chair: Prof. Süheyla Ekmekçi & Vice-Chair: Assoc. Prof. Şenay Baydaş


Haşim Çayır Some Notes on Lifting of Frenet Formulas on Tangent Space 𝑇𝑅3

Bülent Karakaş, Şenay Baydaş Non-Euclidean form of Minkowski Space and 4-Dimensional Geometry

Ziya Akça, Süheyla Ekmekçi, Ayşe Bayar

On Coordinatization and Fibered Projective Plane

09.30 – 10.50

Hall 5 Chair: Prof. Keziban Orbay & Vice-Chair: Assoc. Prof. Fatma Karakuş


Tevfik Şahin, Fatma Karakuş, Yusuf Yaylı

The Fermi-Walker Derivative and Dual Frenet Frame

Ferhat Taş, Selçuk Topal Approximating the Definite Integral Computation: A Novel Method

Oğul Esen, Manuel de Leon, Cristina Sardón

A Hamilton–Jacobi Theory for Implicit Differential Systems

Tevfik Şahin, Fatma Karakuş, Keziban Orbay

The Fermi-Walker Derivative and Non-Rotating Frame in Dual Space


10

09.30 – 10.50

Hall 6 Chair: Prof. Mehmet Atçeken & Vice-Chair: Assoc. Prof. İsmet Ayhan


Hatice Kuşak Samancı Introduction to Dual Covariant Derivative on Time Scales

Ömer Akgüller, Sibel Paşalı Atmaca

Geometric Characterization of Surfaces on Time Scales

Muhammed Çetin, Hüseyin Kocayiğit, Mehmet Sezer

Lucas Polynomial Approach to Determine Lorentzian Spherical Timelike Curves in Minkowski 3-Space

Hatice Kuşak Samancı A Partial Solution to an Open Problem of Frenet Frame of A Curve Parametrized By Time Scales

09.30 – 10.50

Hall 7 Chair: Prof. F. Nejat Ekmekci & Vice-Chair: Assist. Prof. Özgür Kelekçi


Zehra Özdemir, Gül Tuğ, İsmail Gök, F. Nejat Ekmekci

Surface Growth Kinematics in Galilean Space

Özgür Kelekçi On the Special Geometry of Calabi-Yau Moduli Spaces

Sinem Gönül, İrem Küpeli Erken, Aziz Yazla, Cengizhan Murathan

A Neutral Relation Between Polynomial Structure and Almost Quadratic φ-Structure

Aydın Altun Plane Mechanism and Dual Spatial Motions

15.45 – 17.25

Conference Hall Chair: Prof. Bülent Karakaş & Vice-Chair: Assoc. Prof. Fatma Karakuş


Mohammad Hasan Shahid Generalized Normalized δ-Casorati Curvature for Statistical Submanifolds in Quaternion Kaehler-like Statistical Space Form

Mehmet Atçeken, Pakize Uygun

Some Classes of Invariant Submanifolds of (k,µ)-Contact Manifold

Kemal Gökhan Nalbant, Salim Yüce

Inverse of Dual Quaternion Matrices and Matlab Applications

Ahmet Yıldız, Kadir İçaçan On the Geometry of Trans-Sasakian Manifolds with the Schouten-Van Kampen Connection


11

15.45 – 17.25

Hall 1 Chair: Prof. Marian Ioan Munteanu & Vice-Chair: Assist. Prof. Süleyman Dirik


Süleyman Dirik, Mehmet Atçeken, Ümit Yıldırım

On Contact CR-Submanifolds of a Sasakian Manifold

Mehmet Atçeken, Ümit Yıldırım, Süleyman Dirik

Pseudoparallel Invariant Submanifolds of (LCS)n-Manifolds

Sibel Torun, Süleyman Dirik On Contact Pseudo-Slant Submanifolds in a LP-Cosymplectic Manifold

Aysel Turgut Vanlı, İnan Ünal, Ramazan Sarı

Invariant Submanifolds of Normal Complex Contact Metric Manifolds

Şener Yanan, Bayram Şahin Conformal Riemannian Maps in Complex Geometry

15.45 – 17.25

Hall 2 Chair: Prof. Rakesh Kumar & Vice-Chair: Assist. Prof. Ümit Ziya Savcı


Nurten Gürses, Salim Yüce, Mücahit Akbıyık

Moving Coordinate System and Euler-Savary Formula under One-Parameter Planar Homothetic Motions in Generalized Complex Number Plane 𝐶𝑗

Harun Barış Çolakoğlu On the Isometries of The Generalized Taxicab Plane

Temel Ermiş, Gaye Zaim Erçınar, Özcan Gelişgen

Some Geometric Properties of Rhombic Dodecahedron Space

Erhan Ata, Ümit Ziya Savcı Generalized Quaternions in Spatial Kinematics in an Algebraic Sense

Ziya Akça, Ayşe Bayar, Süheyla Ekmekçi

On Some Arcs in the Smallest Cartesian Group Plane

15.45 – 17.25

Hall 3 Chair: Prof. Süha Yılmaz & Vice-Chair: Assist. Prof. Hatice Kuşak Samancı


Hatice Kuşak Samancı On Quadratic Rational Bezier Curve with Split Quaternion Weights

Faik Babadağ Similar Cartan Null Curves in Minkowski 4-space with Variable Transformations

Yasin Ünlütürk , Süha Yılmaz On the Spherical Indicatrices of Pseudo Null Curves in Minkowski Space-Time 𝐸1

4

Haşim Çayır On Lifting of Involute Curve on Tangent Space 𝑇𝑅3

Hatice Kuşak Samancı, Ayhan Yıldız

The Slant Helices According to N-Bishop Frame of The Timelike Curve in Minkowski 3-Space


12

15.45 – 17.25

Hall 4 Chair: Prof. Konrad Polthier & Vice-Chair: Assoc. Prof. Şenay Baydaş


Bülent Altunkaya, Levent Kula Mappings for Generating Rational Helices

Bahar Uyar Düldül, Mustafa Düldül

Shape Operator Along a Surface Curve and its Applications

Oğul Esen Conformal Generalization of Nambu-Poisson Geometry in 3D

Şenay Baydaş D-H Representation in Lorentzian Space and Mechanical Applications

Ayşe Bayar, Süheyla Ekmekçi, Ziya Akça

On Some Classical Theorems in Fibered Projective Plane

15.45 – 17.25

Hall 5 Chair: Prof. Bayram Şahin & Vice-Chair: Assoc. Prof. Soley Ersoy


Aslı Ayar, Bayram Şahin Pythagorean Hodograph λ μ - Bezier Like Curve with Two Shape Parameters

Amine Yılmaz, Bayram Şahin On Geodesics of the Tangent and Normal Surfaces Defined by TN-Smarandache Curve According to Frenet Frame

Mustafa Kazaz, Damla Gökyeşil Characterizations of Dual Curves in Dual Space 𝐷3 According to Dual Bishop Frame

Ferhat Taş, Osman Gürsoy, Selçuk Topal

Spherical Bézier Curves and Ruled Surfaces

Mustafa Dede, Muradiye Çimdiker, Cumali Ekici

Intrinsic Equations for a Generalized Relaxed Elastic Line Due to the B-Darboux Frame of Space-Like Curve on a Surface in the Minkowski 3-Space

15.45 – 17.25

Hall 6 Chair: Prof. Hasan Hüseyin Uğurlu & Vice-Chair: Assoc. Prof. Sezai Kızıltuğ


Erhan Güler, G. Kaimakamis, M. Magid

Helicoidal Hypersurfaces in the Four-Dimensional Minkowski Space

İsmet Ayhan Notes on Geodesics of 𝑆𝑂(3)

Hasan Hüseyin Uğurlu, Gül Yaşar, Büşra Çiçekdal

The Frenet Frames of Lorentzian Spherical Timelike Helices and Their Invariants

Hasan Hüseyin Uğurlu, Hesna Kabadayı, Gül Yaşar

Timelike Helices on The Lorentzian Sphere 𝑆12(𝑟)

Ali Çakmak, Sezai Kızıltuğ, Gökhan Mumcu

New Type Direction Curves in 𝐸13


13

15.45 – 17.25

Hall 7 Chair: Prof. Mohammad Hasan Shahid & Vice-Chair: Assoc. Prof. Nilgün Sönmez


Özcan Gelişgen, Temel Ermiş The Circle Inversion Fractals in Terms of Alpha Metric

Nilgün Sönmez, Abdulaziz Açıkgöz

On the L-Hyperbola and L-Parabola in the Lorentz-Minkowski Plane

Temel Ermiş, Özcan Gelişgen Isometry Group in TD and TI Metric Spaces

Mehmet Ali Balcı, Ömer Akgüller

Curvatures of Clusters in Complex Networks

JULY 6, 2018 FRIDAY

14

09.30 – 11.10

Conference Hall Chair: Prof. Ahmet Yıldız & Vice-Chair: Assoc. Prof. Hakan Mete Taştan


Süleyman Şenyurt, Osman Çakır

Differential Equations for a Space Curve According to the Unit Darboux Vector

Süha Yılmaz, Yasin Ünlütürk Characterizations of Some Associated and Special Curves to Cartan Frame in Complex Space

Baver Okutmuştur Reisnerr-Nordström Spacetime Geometry: Derivation of the Euler and Burgers Models

Cem Sayar, Hakan Mete Taştan, Fatma Özdemir

Generic Submersions from Kaehler Manifolds I

Cem Sayar, Hakan Mete Taştan, Fatma Özdemir

Generic Submersions from Kaehler Manifolds II

09.30 – 11.10

Hall 1 Chair: Prof. Cumali Ekici & Vice-Chair: Assist. Prof. Özgür Kalkan


Nihal Kılıç Aslan, Kazım İlarslan Some Results for Generalized Null Mannheim Curves in 4-dimensional Semi-Euclidean Space with Index 2

Hatice Altın Erdem, Nihal Kılıç Aslan, Kazım İlarslan

On Lightlike W-Curves in 4-dimensional Semi-Euclidean Space with Index 2

Fırat Yerlikaya, İsmail Aydemir A New Method to Obtain the Position Vector of Slant Helices in Lorentz-Minkowski 3-Space

Cumali Ekici, Merve Büşra Göksel, Mustafa Dede

Smarandache Curves According to q-Frame in Euclidean 3-Space

Özgür Kalkan, Hakan Öztürk, Damla Zeybek

On 𝑇∗𝑁∗ Smarandache Curves of Involute-Evolute Curve According to Frenet Frame in Minkowski 3-space

09.30 – 11.10

Hall 2 Chair: Prof. Kadri Arslan & Vice-Chair: Assoc. Prof. İlkay Arslan Güven


Eray Demirbaş, Kadri Arslan On Grassmann Images of Rotational Surfaces in 𝐸4

İlkay Arslan Güven, Mustafa Dede, İpek Tor

Translation Surfaces According to a New Frame

Erhan Güler, Nurettin Cenk Turgay

Cheng-Yau Operator and Gauss Map of Rotational Hypersurfaces in the Four-Dimensional Euclidean Space

Kadri Arslan, Yılmaz Aydın, Eray Demirbaş, Aziz Yazla

Euclidean Curves with Incompressiable Canonical Vector Fields

Fatma Karaca f-Biminimal Maps in Generalized Space Forms

JULY 6, 2018 FRIDAY

15

09.30 – 11.10

Hall 3 Chair: Prof. Mustafa Özdemir & Vice-Chair: Assist. Prof. Tülay Erişir


İnan Ünal, Aysel Turgut Vanlı, Gamze Alkaya

Generalized Complex Contact Space Forms

Kübra Çetinberk, Salim Yüce On the Complex Fibonacci 3-Vectors

Tülay Erişir, Mehmet Ali Güngör

On Fibonacci Spinors

Duygu Soylu, Mustafa Özdemir Householder Transformation with Hyperbolic Numbers

09.30 – 11.10

Hall 4 Chair: Prof. F. Nejat Ekmekci & Vice-Chair: Assist. Prof. Muhammed Talat Sarıaydın


Muhammed Talat Sarıaydın, Talat Körpınar

On Vectorial Moments According to Bishop Frame in Minkowski 3-Space

Fatma Ateş, F. Nejat Ekmekci, İsmail Gök

Spherical Caustic Curves Generated by Reflected Rays

Özgür Keskin, Yusuf Yaylı Rectifying Slant Curves in Minkowski 3-Space

Sezai Kızıltuğ, Ali Çakmak, Gökhan Mumcu

Rectifying Direction Curves

Simge Şimşek, Cansel Yormaz Hamiltonian Mechanical Energy on Super Hyperbolic Spiral Curve

09.30 – 11.10

Hall 5 Chair: Prof. Süha Yılmaz & Vice-Chair: Assoc. Prof. Semra Kaya Nurkan


Yılmaz Gündüzalp, Mehmet Akif Akyol

On the Geometry of Conformal Slant Submersions

Hasan Çakıcıoğlu, Aydın Gezer Codazzi Pairs on Almost Anti-Hermitian Manifolds

Feyza Esra Erdoğan, Selcen Yüksel Perktaş, Bilal Eftal Acet

On a Study of Lightlike Submanifolds of Metallic semi-Riemannian Manifolds

Ahmet Sazak, Ahmet Yıldız 3-Dimensional Quasi-Sasakian Manifolds with The Schouten-Van Kampen Connection and Da-Homotetic Deformation

Furkan Yıldırım Horizontal Lifts of Vector Fields to the Semi-tensor Bundle

JULY 6, 2018 FRIDAY

16

09.30 – 11.10

Hall 6 Chair: Prof. Cihan Özgür & Vice-Chair: Assoc. Prof. Günay Öztürk


Sezgin Büyükkütük, Günay Öztürk

Timelike Factorable Surfaces in Minkowski 4-Space 𝐼𝐸14

Sezgin Büyükkütük, İlim Kişi, Günay Öztürk

Spacelike Aminov Surfaces of Elliptic Type in Four Dimensional Minkowski Space 𝐼𝐸1

4


A Characterization of Factorable Surfaces in Euclidean 4-Space 𝐼𝐸4

Cumali Ekici, Gül Uğur Kaymanlı, Mustafa Dede

Bertrand Offsets of Ruled Surfaces with B-Darboux Frame

Murat Kemal Karacan, Nural Yüksel, Yılmaz Tunçer, Burçin Saltık

Right Conoid in Euclidean 3-Space

09.30 – 11.10

Hall 7 Chair: Prof. Ziya Akça & Vice-Chair: Assoc. Prof. Çetin Camcı


Duygu Yeniçırak, Çetin Camcı On Rectifying Spherical Curves in Euclidean Space

Ayşe Bayar, Abdilkadir Altıntaş, Süheyla Ekmekçi, Ziya Akça

Some Properties of Parabolas Whose Vertices are On Sides of Orthic Triangle and Foci are Orthocenter

Süheyla Ekmekçi, Ziya Akça, Ayşe Bayar

Fiber Diagonal Triangle and Fiber Quadrangular Set

Talat Körpınar, Selçuk Baş, Mustafa Yeneroğlu, Rıdvan Cem Demirkol

On Characterization of Inextensible Flows with Modified Orthogonal Frame

Sevilay Çoruh, Salim Yüce Basic Concepts of Lorentz Space

14.30 – 16.10

Conference Hall Chair: Prof. Rakesh Kumar & Vice-Chair: Assoc. Prof. Murat Altunbaş


Gherici Beldjilali On 3-dimensional Almost Golden Riemannian Manifold

Kaddour Zegga, Gherici Beldjilali, A. Mohammed Cherif

Sasakian Structure on the Product of Manifolds

Ramazan Şimşek, Murat Altunbaş, Aydın Gezer

Properties of Berger Type Deformed Sasaki Metric

Hakan Mete Taştan, Sibel Gerdan

On Doubly Twisted Submanifolds

Fatiha Mahi, Mohamed Belkhelfa

Second Order Parallel Symmetric Tensor on a S-manifold

JULY 6, 2018 FRIDAY

17

14.30 – 16.10

Hall 1 Chair: Prof. Mustafa Çalışkan & Vice-Chair: Assoc. Prof. Günay Öztürk



Spacelike Aminov Surfaces of Hyperbolic Type in Four Dimensional Minkowski Space 𝐼𝐸1

4

İlim Kişi, Sezgin Büyükkütük, Günay Öztürk

Focal Surfaces of a Tubular Surface with Respect to Frenet Frame in 𝐼𝐸3

Mustafa Dede, Gamze Tarım, Cumali Ekici

Timelike Tubular Surfaces with Flc-Frame

Murat Polat, Furkan Yıldırım Semi-Tensor Bundle and the Complete Lift of Vector Fields

Emel Karaca, Mustafa Çalışkan Some Characterizations for Ruled Surface Pair Generated by Natural Lift Curve in Dual Space

14.30 – 16.10

Hall 2 Chair: Prof. Ziya Akça & Vice-Chair: Assoc. Prof. Esen İyigün


Cansel Yormaz, Simge Şimşek Lagrangian Mechanical Energy on Super Logarithmic Spiral Curve

Fırat Yerlikaya, İsmail Aydemir A New Perspective to Solve the Derivative Formulas of The Frenet-Serret Frame in Lorentz-Minkowski 3-Space

Esen İyigün Partially Null Curves Lying Completely on the Subspace of 𝑅2

4

İlim Kişi, Günay Öztürk Involute Curves of Order k of a Given Curve in Galilean 4-Space 𝐺4

14.30 – 16.10

Hall 3 Chair: Prof. Ahmet Yücesan & Vice-Chair: Assoc. Prof. Soley Ersoy


Nihal Taş, Nihal Yılmaz Özgür A Geometric Viewpoint on the Fixed-Circle Problem

Nihal Yılmaz Özgür, Nihal Taş New Fixed-Circle Theorems

Ufuk Çelik, Nihal Yılmaz Özgür New Fixed-Circle Results via Some Families of Functions

Temel Ermiş, Esra Çolak Aktaş, Özcan Gelişgen

Inversion About a Circle in PT Metric Space

Nihal Taş Various Types of Fixed-Circle Results on S-Metric Spaces

JULY 6, 2018 FRIDAY

18

14.30 – 16.10

Hall 4 Chair: Prof. Adela Mihai & Vice-Chair: Assoc. Prof. Sezai Kızıltuğ


Bahar Doğan, Sıddıka Özkaldı Karakuş

A Study on Rectifying Non-Null Curves in Minkowski 3-space

Özgür Keskin, Yusuf Yaylı Rotation Minimizing Frame and its Applications in 𝐸3

Sezai Kızıltuğ, Ali Çakmak, Gökhan Mumcu

Osculating Direction Curves and Applications

Melek Erdoğdu Parallel Frame of Nonlightlike Curves in Minkowski Space-time by Means of Lorentzian Rotations

Mustafa Altın, Zuhal Küçükarslan Yüzbaşı

A Generalization of Surfaces Family with Common Smarandache Asymptotic Curves in Galilean Space

14.30 – 16.10

Hall 5 Chair: Prof. Ahmet Yıldız & Vice-Chair: Assoc. Prof. Şenay Bulut


Yılmaz Gündüzalp A Note on Neutral Slant Submersions

Ahmet Sazak, Ahmet Yıldız Some Conditions on 3-Dimensional Quasi-Sasakian Manifolds with The Schouten-Van Kampen Connection

Ümit Yıldırım, Mehmet Atçeken, Süleyman Dirik

Anti-Invariant Semi-Parallel Submanifolds of a (LCS)n

Manifolds

Mehmet Gümüş, Çetin Camcı A Curve Theory in Sliced Almost Contact Metric Manifolds

Şenay Bulut D-homothetic Deformation on Almost Contact B-Metric Manifolds

14.30 – 16.10

Hall 6 Chair: Prof. Alper Osman Öğrenmiş & Vice-Chair: Assoc. Prof. Semra Kaya Nurkan


Mustafa Özdemir, İmren Akgül On the Square Roots of 2x2 Real Matrices

Mustafa Özdemir An Alternative Method for Finding n-th Roots of a 2x2 Real Matrix

Semra Kaya Nurkan, Sevim Dolaşır

A Note on Bicomplex Matrices

Emel Ünver Demir A Work on Homology Groups of Simple Closed H-Curves

JULY 6, 2018 FRIDAY

19

14.30 – 16.10

Hall 7 Chair: Prof. Cihan Özgür & Vice-Chair: Assoc. Prof. Sıddıka Özkaldı Karakuş


Duygu Dönmez Demir, B. Gültekin Sınır, Gülsüm Şanal

The Beam Models depending on Geometry of Deformed Beams

Kübra Erdem Biçer, Mehmet Sezer, Mustafa Kazaz

Bernoulli Polynomial Solutions of System of Frenet-Like Linear Differential Equations in Normal Form Arising from Differential Geometry

Seçil Özekinci, Simge Şimşek, Cansel Yormaz

Half Derivative Formulation for Fuzzy Space with Caputo Method

Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi

On Intuitionistic Fuzzy Menelaus and Ceva Theorems

Fatma Karaca, Cihan Özgür On Semi Biharmonic Legendre Curves in Sasakian Space Forms

16.25 – 17.45

Conference Hall Chair: Prof. Kadri Arslan & Vice-Chair: Assoc. Prof. Ferdağ Kahraman Aksoyak


Kemal Eren, Soley Ersoy The Circling-Point Curve of Inverse Motion in Minkowski Plane

Harun Barış Çolakoğlu On the Pythagorean Theorem in The Generalized Taxicab Plane

Zeynep Çolak, Zeynep Can On Distance Formulae in Two Convex Dual Spaces

Ferdağ Kahraman Aksoyak, Sıddıka Özkaldı Karakuş

Some Applications of Generalized Bicomplex Numbers on Motions in Four Dimensional Spaces

16.25 – 17.45

Hall 1 Chair: Prof. Bengü Bayram & Vice-Chair: Assoc. Prof. Yılmaz Gündüzalp


Kadri Arslan, Bengü Bayram, Betül Bulca, Günay Öztürk

On Rotational Submanifolds in Euclidean Spaces

Yılmaz Gündüzalp On Clairaut Anti-invariant Semi-Riemannian Submersions

Hülya Aytimur, Cihan Özgür Statistical Submersions in Cosymplectic-like Statistical Manifolds

Fulya Şahin Relationships Between Symplectic Groupoids And Generalized Golden Manifolds

JULY 6, 2018 FRIDAY

20

16.25 – 17.45

Hall 2 Chair: Prof. Nihal Yılmaz Özgür & Vice-Chair: Assoc. Prof. Mustafa Özkan


Erkan Karakaş, Aydın Gezer Projective Vector Fields on the Tangent Bundle with respect to the Semi-symmetric Metric Connection

Ayşe Yavuz Taşçı, Füsun Özen Zengin

Pseudo Cyclic Z-Symmetric Manifold

Çağrı Karaman, Aydın Gezer Geometry of Statistical F-connections

Mustafa Özkan, Tuğba Tamirci The Geometry of Complex Golden Conjugate Connections

16.25 – 17.45

Hall 3 Chair: Prof. H. Bayram Karadağ & Vice-Chair: Assoc. Prof. Sıddıka Özkaldı Karakuş


Hakan Gündüz, Ahmet Kazan, H. Bayram Karadağ

Some Characterizations of Rotational Surfaces Generated by Cubic Hermitian Curves

Sıddıka Özkaldı Karakuş A Study on Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space

Ayşe Yavuz, Fatma Ateş, Yusuf Yaylı

Surfaces with Constant Slope According to Darboux Frame

Furkan Yıldırım Diagonal Lift Problems in the Semi-tangent Bundle

16.25 – 17.45

Hall 4 Chair: Prof. Mahmut Ergüt & Vice-Chair: Assoc. Prof. Müge Karadağ


Muhittin Evren Aydın, Alper Osman Öğrenmiş, Mahmut Ergüt

Translation Hypersurfaces in Isotropic Spaces

Ayla Erdur, Muhittin Evren Aydın, Mahmut Ergüt

On Affine Factorable Surfaces

Alper Osman Öğrenmiş, Muhittin Evren Aydın, Mihriban Külahcı

Translation surfaces in Galilean Spaces

Mustafa Altın, Müge Karadağ, H. Bayram Karadağ

Some Characterizations of Curves in Spaces with Density

JULY 6, 2018 FRIDAY

21

16.25 – 17.45

Hall 5 Chair: Prof. Ayşe Bayar & Vice-Chair: Assoc. Prof. Nural Yüksel


Elif Altıntaş, Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi

On the Affine Planes Embedded in 𝑁𝐹𝑃𝐺(2,9)

Süheyla Ekmekçi, Ayşe Bayar, Fatma Bekmez Kazanç, Ziya Akça

On Fuzzy Line Spreads

Elif Altıntaş, Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi

On Some Properties of the (6,2)-arc in 𝑁𝐹𝑃𝐺(2,9)

16.25 – 17.45

Hall 6 Chair: Prof. Mustafa Çalışkan & Vice-Chair: Assoc. Prof. Yılmaz Tunçer


Çetin Camcı On the Construction of Bertrand Curves

Selçuk Baş, Zeliha Körpınar, Handan Öztekin, Talat Körpınar

A New Approach for Inextensible Flows with Modified KdV Flow

Yılmaz Tunçer, Hüseyin Kocayiğit, Murat Kemal Karacan

Indicatrices of the Curves in Affine 3-Space

Yılmaz Tunçer, Hüseyin Kocayiğit, Murat Kemal Karacan, Hatice Çümen

Special Curves in Euclidean 3-Space

16.25 – 17.45

Hall 7 Chair: Prof. Ahmet Yücesan & Vice-Chair: Assist. Prof. Gözde Özkan Tükel


Şerife Naz Elmas, Simge Şimşek, Cansel Yormaz

Quaternionic and Split Quaternionic Principal Curvatures and Principal Directions

Tanju Kahraman A Study on Null Quaternionic Curves in Minkowski Spaces

Tanju Kahraman, Pınar Balkı Okullu

A Study on Differential Equations of Null Quaternionic Curves

Gözde Özkan Tükel, Tunahan Turhan, Ahmet Yücesan

Hyperelastic Curves in 𝑆𝑂(3)

POSTER PRESENTATIONS

22

*Poster presentations will be presented at 14.30/July 4-5-6, 2018.


Atilla Akpınar On A Class of Finite Projective Klingenberg Planes

Tuğba Baysal, Mustafa Çalışkan

On Ruled Surface Pair Generated by Darboux Vectors of a Curve and Its Natural Lift in Dual Space

Mustafa Çalışkan, Yağmur Akbaba

M̅- Geodesic Spray and M̅- Integral Curve in The Dual Space

Latife Özyurt, Mustafa Çalışkan Ruled Surfaces with Striction Scroll in Dual Space

Bilgesu Kartal, Mustafa Çalışkan

Some Characterizations for Konoidal Ruled Surfaces

Hakan Öztürk, Özgür Kalkan, Sermin Öztürk, Murat Esendemir

On Almost alpha-Cosymplectic Pseudo-Metric Manifolds

Hakan Öztürk, Sermin Öztürk, Özgür Kalkan

On Almost alpha-Cosymplectic Manifolds

Özgür Kalkan, Hakan Öztürk, Damla Zeybek

On Smarandache Curves of Involute-Evolute Curve According to Frenet Frame in Minkowski 3-Space

Evren Ergün, Mustafa Çalışkan Ruled Surface Pair Generated by a Curve and its Natural Lift in 𝐼𝑅3

Keziban Orbay, Tevfik Şahin Mannheim Offsets of Ruled Surfaces Under the Symmetrical Helical Motions in 𝐸3

Ziya Akça On Fuzzy Hyperplanes of Fuzzy 5-Dimensional Projective Space

Süheyla Ekmekçi An Application for Fibered Projective Plane of Order 2

Ayşe Bayar On Isometrıes of 𝑅𝜋𝑛2

Ferdağ Kahraman Aksoyak Notes on Quaternionic Frame in 𝑅4

Elif Altıntaş On the Complete Arcs in 𝑁𝐹𝑃𝐺(2,9)

Neriman Acar, Ferdağ Kahraman Aksoyak

Translation Surfaces Generated by Spherical Indicatrices of Space Curves in Euclidean 3-Space

Ali Çakmak, Murat Kemal Karacan, Sezai Kızıltuğ, Hasan Es

Surfaces of Revolution in 𝐺3

Fatma Almaz, Mihriban Alyamaç Külahçı

Clairaut's Theorem on the Some Special Surfaces in Galilean Space

Osman Ateş, Seher Kaya, İsmail Gök, Yusuf Yaylı

Some Characterizations of Timelike Clad Helices in Minkowski 3-space

Yılmaz Tunçer Special Class of Curves in Affine 3-Space

Burak Şahiner Some Special Curves Associated with Spherical Image of a Curve of Constant Precession

Documents

SYMPOSIUM PROGRAMME - 16. ULUSLARARASI GEOMETRİ …16geosem.cbu.edu.tr/.../assets/SymposiumProgramme.pdf · 1 SYMPOSIUM PROGRAMME July 4, 2018 Wednesday 08.30-10.00 Registration