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arXiv · 2306.17410

Simple proof of the global inverse function theorem via the Hopf--Rinow theorem

Shinobu Ohkita·Masaki Tsukamoto
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Abstract

We explain that Hadamard's global inverse function theorem very simply follows from the Hopf--Rinow theorem in Riemannian geometry.

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Shinobu Ohkita, Masaki Tsukamoto. 2023-06-30. Simple proof of the global inverse function theorem via the Hopf--Rinow theorem. https://arxiv.org/abs/2306.17410

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