期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 146, 期 11, 页码 4889-4897出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14130
关键词
Manifolds with corners; Moser's theorem; Stokes's theorem
资金
- Austrian Science Fund (FWF) [P 26735-N25]
- BRIEF Award from Brunel University London
- Austrian Science Fund (FWF) [P26735] Funding Source: Austrian Science Fund (FWF)
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.
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