Gauree Shanker, Kirandeep Kaur
Published 2017-12-18Version 1
In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series $(\alpha, \beta)$-metric. Next, we deduce an explicit formula for the the $S$-curvature of homogeneous Finsler space with infinite series $(\alpha, \beta)$-metric. Using this formula, we further derive the formula for mean Berwald curvature of the homogeneous Finsler space with this metric.
On the Ricci curvature of homogeneous Finsler spaces with $(α,β)$-metrics
On the flag curvature of homogeneous Finsler space with some special $(α, β)$-metrics
Homogeneous geodesics in homogeneous Finsler spaces
![QR code for arXiv:1712.06328 [math.DG]](http://oss.arxitics.com/images/favicon.svg)