Simple proof of the global inverse function theorem via the Hopf-Rinow theorem. (English) Zbl 07828377
Summary: We explain that Hadamard’s global inverse function theorem very simply follows from the Hopf-Rinow theorem of Riemannian geometry.
MSC:
| 26B10 | Implicit function theorems, Jacobians, transformations with several variables |
| 53C22 | Geodesics in global differential geometry |
References:
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