CW-translations of homogeneous Finsler spaces with (α,β)-metrics

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Published: Dec 15, 2022
Keywords:
Homogeneous Finsler space, square metric, Randers change of square metric, Killing vector field, CW-translation

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RAGHAVENDRA R S
Kuvempu University
Narasimhamurthy S K
a:1:{s:5:"en_US";s:18:"Kuvempu University";}
SUREKHA DESAI
Kuvempu University

Abstract

In the present paper, we consider homogeneous Finsler spaces with (α,β)-metrics. Taking a vector field  X on these spaces, we find the necessary condition for X to be Killing vector field and extend the concept to Riemannian metric α. Next, we find the sufficient conditions for X to be a Killing vector field of constant length on the Finsler spaces with square metric and Randers change of square metrics. Further by dropping the restriction to the Killing vector fields, we study CW-translations of left invariant Finsler metrics on compact Lie groups.

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R S R, S K N, DESAI S. CW-translations of homogeneous Finsler spaces with (α,β)-metrics. J. Int. Acad. Phys. Sci. [Internet]. 2022 Dec. 15 [cited 2025 May 16];26(4):395-40. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/957
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Vol. 26 No. 4 (2022): Table of Content
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