Killing Correspondence in Finsler Spaces Under β-change of Metrics

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

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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.

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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 2024 May 16];25(1):1-9. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/52
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Vol. 25 No. 1 (2021): Table of Content
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