On CW-translations of homogeneous Finsler spaces with (?,?)-metrics

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Date

2021-03-01T00:00:00

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Publisher

Balkan Society of Geometers

Abstract

In the present paper, we consider homogeneous Finsler spaces with two (?,?)-metrics. Taking a Killing vector ?eld X on one of these spaces, we find necessary and su?cient conditions for X to be Killing on the other space. Further, by taking a Killing vector ?eld X of constant length on one of these spaces, we ?nd the condition under which the Killing vector ?led X has constant length w.r.t. other space also. Taking Killing vector ?elds of constant length, we ?nd CW translations on these spaces. � 2021 Balkan Society of Geometers, Geometry Balkan Press. All Rights Reserved.

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Keywords

CW-translation, Homogeneous Finsler space, infinite series metric, Killing vector field, Matsumoto metric

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