Naturally reductive homogeneous (α, β)-metric spaces

Abstract

In the present paper we study naturally reductive homogeneous (α, β)-metric spaces. We show that for homogeneous (α, β)-metric spaces, under a mild condition, the two definitions of naturally reductive homogeneous Finsler space, given in the literature, are equivalent. Then, we compute the flag curvature of naturally reductive homogeneous (α, β)-metric spaces. © 2021, Masaryk University. All rights reserved.