Moser's theorem on manifolds with corners
Differential Geometry
2018-10-26 v2
Abstract
Moser's theorem (1965) 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.
Cite
@article{arxiv.1604.07787,
title = {Moser's theorem on manifolds with corners},
author = {Martins Bruveris and Peter W. Michor and Adam Parusinski and Armin Rainer},
journal= {arXiv preprint arXiv:1604.07787},
year = {2018}
}
Comments
9 pages; mistakes corrected, final accepted version