Abstract
We explain that Hadamard’s global inverse function theorem very simply follows from the Hopf–Rinow theorem of Riemannian geometry.
Citation
Shinobu Ohkita. Masaki Tsukamoto. "Simple proof of the global inverse function theorem via the Hopf–Rinow theorem." Proc. Japan Acad. Ser. A Math. Sci. 100 (3) 17 - 19, March 2024. https://doi.org/10.3792/pjaa.100.004
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