Form preserving diffeomorphisms on open manifolds |
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| Authors: | Jürgen Eichhorn Rudolf Schmid |
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| Institution: | (1) Fachbereich Mathematik, University of Greifswald, Jahnstrasse 15a, 17487 Greifswald, Germany;(2) Department of Mathematics, Emory University, 30322 Atlanta, Georgia, USA |
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| Abstract: | We prove that on open manifolds of bounded geometry satisfying a certain spectral condition the component of the identity D
infw,0
supr
of form preserving diffeomorphisms is a submanifold of the identity component of all bounded Sobolev diffeomorphisms. D
infw,0
supr
inherits a natural Riemannian geometry and we can solve Euler equations in this context.Research supported by NSF grant # DMS-9303215 and Emory-Greifswald Exchange Program |
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| Keywords: | Diffeomorphism groups open manifolds Euler equations |
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