Beltrami's theorem via parabolic geometry

TL;DR

This paper revisits Beltrami's theorem through the lens of parabolic differential geometry, providing insights without relying on the traditional parabolic machinery.

Contribution

It offers a novel perspective on Beltrami's theorem by applying parabolic geometry concepts in a simplified manner.

Findings

New geometric interpretation of Beltrami's theorem

Simplified proofs using parabolic geometry principles

Insights into differential geometry without heavy machinery

Abstract

We use Beltrami's theorem as an excuse to present some arguments from parabolic differential geometry without any of the parabolic machinery.