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Gluing diffeomorphisms, bi-Lipschitz mappings and homeomorphisms
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Paper
Gluing diffeomorphisms, bi-Lipschitz mappings and homeomorphisms
2024
Overview
In the paper, we address the following problem, often encountered in geometric constructions: having defined an orientation preserving diffeomorphism in a number of `patches' on a manifold \\(M\\), can we extend it to a diffeomorphism of the whole manifold \\(M\\)? We give a positive answer, provided the `patches' are sufficiently regular. Then, we extend the same result to the case of bi-Lipschitz homeomorphisms and homeomorphisms.
Publisher
Cornell University Library, arXiv.org
Subject
