Diffeomorphism groups of convex polytopes
Abstract
Let $E$ be a finite-dimensional real vector space and $M\subseteq E$ be a convex polytope with non-empty interior. We turn the group of all $C^\infty$-diffeomorphisms of $M$ into a regular Lie group.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.09285
- arXiv:
- arXiv:2203.09285
- Bibcode:
- 2022arXiv220309285G
- Keywords:
-
- Mathematics - Differential Geometry;
- 58D05 (Primary) 22E65;
- 46T05;
- 46T10;
- 52B11;
- 52B15;
- 52B70 (Secondary)
- E-Print:
- 19 pages, LaTeX. v2: minor improvements