Diffeomorphism Groups of Convex Polytopes

Abstract

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.

Contact details are reproduced from the original publication and may be historical.

Institut für Mathematik, Universität Paderborn, Germany

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

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