# Monochromatic metrics are generalized Berwald

## TL;DR

This paper proves that monochromatic Finsler metrics, where tangent spaces are isomorphic, are a special case of generalized Berwald metrics, characterized by the existence of an affine connection preserving the Finsler function.

## Contribution

It establishes a new classification linking monochromatic Finsler metrics to generalized Berwald metrics through affine connections.

## Key findings

- Monochromatic Finsler metrics are generalized Berwald metrics.
- Existence of an affine connection preserving the Finsler function.
- Extension of the understanding of Finsler metric structures.

## Abstract

We show that monochromatic Finsler metrics, i.e., Finsler metrics such that each two tangent spaces are isomorphic as normed spaces, are generalized Berwald metrics, i.e., there exists an affine connection, possibly with torsion, that preserves the Finsler function