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

DOI10.3792/pjaa.100.004arXiv2306.17410OpenAlexW4392527444MaRDI QIDQ6123824

Shinobu Ohkita, Masaki Tsukamoto

Publication date: 8 April 2024

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.17410

zbMATH Keywords

Hopf-Rinow theoremglobal inverse function theorem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Cites Work

• Some global inverse function theorems
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• Homeomorphisms Between Banach Spaces
• On global inversion of homogeneous maps
• On the Diffeomorphisms of Euclidean Space
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