Volume : 3, Issue : 7, JUL 2017

ROLE OF KILLING VECTOR FIELDS IN FINSLER SPACE

POOJA SWAROOP SAXENA

Abstract

We consider a Finsler space equipped with a Generalized Conformal β- change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal-change of metric. Also, Killing vector fields of constant length correspond to isometries of constant displacement. Those in turn have been used to study homogeneity of Riemannian and Finsler quotient manifolds.

Keywords

Finsler Space, Riemannian Geometry , Manifolds, Vector Fields.

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