On $S$-Curvature of Homogeneous Finsler spaces with $(α, β)$-metrics

Gauree Shanker; Sarita Rani

doi:10.1142/s021988782050019x

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arXiv · 1907.04009

On $S$-Curvature of Homogeneous Finsler spaces with $(α, β)$-metrics

Gauree Shanker·Sarita Rani

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Abstract

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

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BibTeX RIS

Gauree Shanker, Sarita Rani. 2019-07-09. On $S$-Curvature of Homogeneous Finsler spaces with $(α, β)$-metrics. https://doi.org/10.1142/s021988782050019x

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