Finsler Space Admiting Torse-Forming Vector Field

Author(s):

Dr. Shiv Prakash Mishra; Sukh Raj Singh

Published in:

HCTL Open International Journal of Technology Innovations and Research (IJTIR), eISSN: 2321-1814

Published on:

02-May-2015

Volume:

Volume 14, April 2015, ISBN:978-1-62951-946-3.

Copyright Information:

© 2015 by the Authors; Licensed by HCTL Open, India.

License Information:

This article is an open-access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License.

Abstract

Torse-forming infinitesimal transformation and torse-forming curvature inheritance in a Finsler space have been studied by Mishra and Mishra[2], Mishra and Lodhi[3] respectively. They established some basic and useful results under Torse-forming infinistesimal transformation. The object of present paper is to study the Torse-forming infinitesimal transformation for cartan’s curvature. We have established the condition under which Cartan’s curvature generates non-flat space under aforesaid Torse-forming infinitesimal transformation. Some useful results have been investigated in the paper.


Keywords

Finceler space, Cartan’s Curvatue, Torse-forming Transformation

Cite this Article

Dr. Shiv Prakash Mishra; Sukh Raj Singh, Finsler Space Admiting Torse-Forming Vector Field, HCTL Open International Journal of Technology Innovations and Research (IJTIR), Volume 14, April 2015, eISSN: 2321-1814, ISBN (Print): 978-1-62951-946-3.

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