Commutators of diffeomorphisms of a manifold with boundary
Volume 68 / 1998
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.
