# Conformal maps between pseudo-Finsler spaces

## TL;DR

This paper systematically studies conformal maps between pseudo-Finsler spaces, extending pseudo-Riemannian results and revealing richer conformal groups in flat pseudo-Finsler geometries, with implications for field theories.

## Contribution

It extends conformal mapping theory to pseudo-Finsler spaces and introduces a technique linking pseudo-Finsler and pseudo-Riemannian conformal vector fields.

## Key findings

- Conformal groups of flat pseudo-Finsler spaces can be larger than those of flat Finsler or pseudo-Euclidean spaces.
- The paper provides a method to reduce pseudo-Finsler conformal problems to pseudo-Riemannian cases.
- Examples show the richness of conformal groups in pseudo-Finsler geometries.

## Abstract

The paper aims to initiate a systematic study of conformal mappings between Finsler spacetimes and, more generally, between pseudo-Finsler spaces. This is done by extending several results in pseudo-Riemannian geometry which are necessary for field-theoretical applications and by proposing a technique which reduces a series of problems involving pseudo-Finslerian conformal vector fields to their pseudo-Riemannian counterparts. Also, we point out, by constructing classes of examples, that conformal groups of flat (locally Minkowskian) pseudo-Finsler spaces can be much richer than both flat Finslerian and pseudo-Euclidean conformal groups.