Commutators of diffeomorphisms of a manifold with boundary

• Autorzy: Tomasz Rybicki
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 58D05: Groups of diffeomorphisms and homeomorphisms as manifolds
• 57R50: Diffeomorphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 3
• Strony: 199-210

Daty

wydano

1998

otrzymano

1995-12-04

Twórcy

autor

Tomasz Rybicki

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

Bibliografia

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