APROJECT REPORT

ON

Exterior Algebra in Riemannian geometry

Submitted To

Department of Mathematical Sciences

A.P.S. University, Rewa (M.P.)

Session:-2014-2015

Under The Guidance Submitted By Prof. R.N. Singh Pratibha Rajak

M.Sc IV Sem

ACKNOWLEDGEMENT

I feel privileged to express my deep sense of gratitude to Prof. J.P. Singh, Head of Department of Mathematical Sciences, A.P.S. University Rewa for his valuable guidance, helpful criticism and affectionate behavior throughout in the preparation of this project work,

I would like to express my grateful thanks to Prof. J.P. Singh Head of Department & Prof. C.K. Sharma, Prof. R.N. Singh Department of Mathematical Sciences, A.P.S. University, Rewa for their keen interest in the work and for providing necessary facilities.

I have special thanks to Guest faculty of the Department Dr. Sharvan Pandey, Dr. Giteshwari Pandey and Mr. Ajitesh Singh Baghel for their Valuable help. I am also heartly thankful to all members of my department for all Possible cooperation throughout the my project work,

I express my sincere thanks to all M.sc. IV Sem students for useful discussions to complete the work well in time.

Arti Tiwari

DECELARATION

I Arti Tiwari D/O Mr. Raghuvansh Prasad Tiwari Declare that the Project Report entitled “Bounded linear transformation on normed linear space” is prepared by me under the guidance of Prof. J.P. Singh Department of Mathematical Sciences, A.P.S. University Rewa (M.P.)

Date Signature of Student

Palce : Rewa Name : Arti Tiwari Class : M.Sc IV Sem. Roll No. 1301500127