On the flag curvature of homogeneous Finsler space with some special $(\alpha ,\beta )$-metrics

Abstract

In this paper, first we derive an explicit formula for the flag curvature of a homogeneous Finsler space with infinite series $(\alpha ,\beta )$-metric and exponential metric. Next, we deduce it for naturally reductive homogeneous Finsler space with the above mentioned metrics.

27 Pages; No figure. arXiv admin note: text overlap with arXiv:1712.06328