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Title: Moser’s theorem on manifolds with corners
Authors: Bruveris, M
Michor, PW
Parusiński, A
Rainer, A
Issue Date: 10-Aug-2018
Publisher: American Mathematical Society (AMS)
Citation: Proceedings of the American Mathematical Society, 2018, 146 (11), pp. 4889 - 4897
Abstract: Moser's theorem states that the diffeomorphism group of a compact manifold acts transitively on the space of all smooth positive densities with fixed volume. Here we describe the extension of this result to manifolds with corners. In particular, we obtain Moser's theorem on simplices. The proof is based on Banyaga's paper (1974), where Moser's theorem is proven for manifolds with boundary. A cohomological interpretation of Banyaga's operator is given, which allows a proof of Lefschetz duality using differential forms.
ISSN: 0002-9939
Appears in Collections:Dept of Mathematics Research Papers

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