Simple proof of the global inverse function theorem via the Hopf--Rinow theorem
Differential Geometry
2023-07-03 v1 Classical Analysis and ODEs
Abstract
We explain that Hadamard's global inverse function theorem very simply follows from the Hopf--Rinow theorem in Riemannian geometry.
Cite
@article{arxiv.2306.17410,
title = {Simple proof of the global inverse function theorem via the Hopf--Rinow theorem},
author = {Shinobu Ohkita and Masaki Tsukamoto},
journal= {arXiv preprint arXiv:2306.17410},
year = {2023}
}
Comments
4 pages. Comments are very welcome!