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Journal of Convex Analysis 30 (2023), No. 1, 343--358
Copyright Heldermann Verlag 2023

Diffeomorphism Groups of Convex Polytopes

Helge Gloeckner
Institut für Mathematik, Universität Paderborn, Germany


Let $M$ be a convex polytope in $\mathbb{R}^n$, with non-empty interior. We turn the group Diff$(M)$ of all $C^\infty$-diffeomorphisms of $M$ into a regular Lie group.

Keywords: Polytope, polyhedron, diffeomorphism group, infinite-dimensional Lie group, regularity, manifold with corners, local addition.

MSC: 58D05; 22E65, 46T05, 46T10, 52B11, 52B15, 52B70.

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