The manifold structure of maps between open manifolds |
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Authors: | Jü rgen Eichhorn |
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Affiliation: | (1) Ernst-Moritz-Arndt-Universität Fachbereich Mathematik, Jahnstr. 15a, D O-2200 Greifswald, Germany |
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Abstract: | We establish in a canonical manner a manifold structure for the completed space of bounded maps between open manifoldsM andN, assuming thatM andN are endowed with Riemannian metrics of bounded geometry up to a certain order. The identity component of the corresponding diffeomorphisms is a Banach manifold and metrizable topological group. |
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Keywords: | Open manifolds manifolds of maps |
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