On equivalence theorems of Minkowski spaces and applications in Finsler geometry

TL;DR

This paper establishes an equivalence theorem for Minkowski spaces using centro-affine differential geometry and applies it to derive new characterizations of Berwald spaces in Finsler geometry.

Contribution

It introduces a novel equivalence theorem for Minkowski spaces and applies it to characterize Berwald spaces in Finsler geometry.

Findings

New equivalence theorem for Minkowski spaces

Characterizations of Berwald spaces derived

Applications in Finsler geometry

Abstract

In this paper, we first establish an equivalence theorem of Minkowski spaces by using results in centro-affine differential geometry. As an application in Finsler geometry, we gives some new characterizations of Berwald spaces.