Abstract

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

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Keywords

  • Polytope
  • polyhedron
  • diffeomorphism group
  • infinite-dimensional Lie group
  • regularity
  • manifold with corners
  • local addition

Mathematics Subject Classification

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

Suggested citation

H. Gloeckner. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis 30 (2023), No. 1, 343–358.

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