# A general version of Beltrami's theorem in Finslerian setting

**Authors:** Ioan Bucataru, Georgeta Cre\c{t}u

arXiv: 1902.05274 · 2020-11-10

## TL;DR

This paper provides a new proof of a Finslerian version of Beltrami's theorem, extending its applicability to all dimensions including dimension 2, thereby broadening the understanding of Finsler geometry.

## Contribution

It introduces a novel proof of the Finslerian Beltrami's theorem that is valid in any dimension, including the two-dimensional case.

## Key findings

- New proof of Finslerian Beltrami's theorem applicable in all dimensions
- Extension of classical theorem to Finsler geometry in dimension 2
- Broader understanding of geometric properties in Finsler spaces

## Abstract

We present a new proof of a Finslerian version of Beltrami's theorem (1865) which works also in dimension 2.

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1902.05274/full.md

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Source: https://tomesphere.com/paper/1902.05274