On the flag curvature of a homogeneous Finsler space with generalized m-Kropina metric

Abstract

In this paper, first, we give an explicit formula for the flag curvature of a homogeneous Finsler space with generalized m-Kropina metric. Then, we show that, under a mild condition, the two definitions of naturally reductive homogeneous Finsler space are equivalent for aforesaid metric. Finally, we study the flag curvature of naturally reductive homogeneous Finsler spaces with generalized m-Kropina metric. � Balkan Society of Geometers, Geometry Balkan Press 2022.