On equivalence of two non-Riemannian curvatures in warped product Finsler metrics

TL;DR

This paper investigates warped product Finsler metrics and demonstrates that isotropic E-curvature and S-curvature are equivalent within this class, simplifying curvature analysis in these geometries.

Contribution

It establishes the equivalence of isotropic E-curvature and S-curvature specifically for warped product Finsler metrics, a novel insight in Finsler geometry.

Findings

Isotropic E-curvature and S-curvature are equivalent for warped product Finsler metrics

Simplifies curvature analysis in this class of Finsler geometries

Provides a new perspective on curvature properties in non-Riemannian settings

Abstract

In this paper we study warped product Finsler metrics and show that the notion of isotropic $E$-curvature and isotropic $S$-curvature are equivalent for this class of metrics.