Commutators of diffeomorphisms of a manifold with boundary

Tomasz Rybicki

ArticleOriginal scientific text

Title

Commutators of diffeomorphisms of a manifold with boundary

Authors ¹

Affiliations

Institute of Mathematics, Pedagogical University, Rejtana 16 A, 35-310 Rzeszów, Poland

Abstract

A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on

C^{r}

-diffeomorphisms are included.

Keywords

ENG

Group of diffeomorphisms, simplicity, perfectness, manifold with boundary, fixed point theory

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Title

Commutators of diffeomorphisms of a manifold with boundary

Affiliations

Abstract

Keywords

Bibliography