ON $S$-CURVATURE OF A HOMOGENEOUS FINSLER SPACE WITH RANDERS CHANGED SQUARE METRIC

Sarita Rani, Gauree Shanker

DOI Number
https://doi.org/10.22190/FUMI2003673R
First page
673
Last page
691

Abstract


The study of curvature properties of homogeneous Finsler spaces with $(\alpha, \beta)$-metrics is one of the central problems in Riemann-Finsler geometry. In the present paper, the existence of invariant vector fields on a homogeneous Finsler space with Randers changed square metric has been proved. Further, an explicit formula for $S$-curvature of Randers changed square metric has been established. Finally, using the formula of $S$-curvature, the mean Berwald curvature of afore said $(\alpha, \beta)$-metric has been calculated. 

Keywords

Homogeneous Finsler space, square metric, Randers change, invariant vector field, S-curvature, mean Berwald curvature.

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DOI: https://doi.org/10.22190/FUMI2003673R

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