Killing Correspondence in Finsler Spaces Under β-change of Metrics

Article Sidebar

PDF
Published: Mar 15, 2021
Keywords:
Finsler spaces, β -change and Killing vector field.

Main Article Content

S. K. Shukla
Department of Mathematics, Ramdayalu Singh College, Muzaffarpur (Bihar)-842002, INDIA
M. K. Gupta
Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur (C. G.)-495009, INDIA
Shivalika Saxena
Department of Applied Sciences and Humanities, Muzaffarpur Institute of Technology, Muzaffarpur (Bihar)-842001, INDIA

Abstract

We consider a Finsler space equipped with a β-change of metric and study the Killing correspondence between the original Finsler space and the Finsler space equipped with β -change of metric. We obtain a necessary and sufficient condition for a vector field Killing in the original Finsler space to be Killing in the transformed Finsler space. Certain consequences of such result are also discussed.

Article Details

How to Cite
1.
S. K. Shukla, M. K. Gupta, Shivalika Saxena. Killing Correspondence in Finsler Spaces Under β-change of Metrics. J. Int. Acad. Phys. Sci. [Internet]. 2021 Mar. 15 [cited 2025 May 5];25(1):1-9. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/52
Issue
Vol. 25 No. 1 (2021): Table of Content
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.