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March 6, 2024Proceedings of the Japan Academy Series A Mathematical SciencesOpen Access

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 of Riemannian geometry.

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Cite This Study

Ohkita et al. (2024) studied this question.

synapsesocial.com/papers/68e758b0b6db6435876cfdf7 https://doi.org/10.3792/pjaa.100.004

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