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Naturally reductive homogeneous $(α, β)$ -metric spaces

M. Parhizkar; H.R. Salimi Moghaddam — 2021

Archivum Mathematicum

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.

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Naturally reductive homogeneous ( α , β ) -metric spaces

Naturally reductive homogeneous $(α, β)$ -metric spaces