Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 146, Issue 11, Pages 4889-4897Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14130
Keywords
Manifolds with corners; Moser's theorem; Stokes's theorem
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Funding
- Austrian Science Fund (FWF) [P 26735-N25]
- BRIEF Award from Brunel University London
- Austrian Science Fund (FWF) [P26735] Funding Source: Austrian Science Fund (FWF)
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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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