Curvatures on homogeneous Finsler spaces

TL;DR

This paper derives explicit formulas for S-curvature and mean Berwald curvature in homogeneous generalized m-Kropina Finsler spaces, advancing the understanding of curvature properties in these geometric structures.

Contribution

It provides new explicit formulas for S-curvature and mean Berwald curvature in homogeneous generalized m-Kropina metrics, which were previously not known.

Findings

Explicit formula for S-curvature in homogeneous generalized m-Kropina metric

Derived mean Berwald curvature from S-curvature in these spaces

Enhanced understanding of curvature behavior in Finsler geometry

Abstract

The main aim of this article is to calculate explicit formula for S-curvature in homogeneous generalized m-Kropina metric. Further, we also deduce mean Berwald curvature for homogeneous generalized m-Kropina metric from S-curvature.