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arXiv · 1603.05995

Diffeomorphism groups of compact convex sets

Helge Glockner·Karl-Hermann Neeb
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Abstract

For a compact convex subset K with non-empty interior in a finite-dimensional vector space, let G be the group of all smooth diffeomorphisms of K which fix the boundary of K pointwise. We show that G is a C^0-regular infinite-dimensional Lie group. As a byproduct, we obtain results concerning solutions to ordinary differential equations on compact convex sets.

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Helge Glockner, Karl-Hermann Neeb. 2016-03-18. Diffeomorphism groups of compact convex sets. https://arxiv.org/abs/1603.05995

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