A+ CATEGORY SCIENTIFIC UNIT

Commutators of diffeomorphisms of a manifold with boundary

Volume 68 / 1998

Tomasz Rybicki Annales Polonici Mathematici 68 (1998), 199-210 DOI: 10.4064/ap-68-3-199-210

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.

Authors

  • Tomasz Rybicki

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