Commutators of C...-diffeomorphisms. Appendix to "A Curious Remark Concerning the Geometric Transfer Map" by John N. Mather.
Commutators of Diffeomorphisms: II.
Commutators of diffeomorphisms, III: a group which is not perfect.
Commutators of diffeomorphisms of a manifold with boundary
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 -diffeomorphisms are included.
Continuous transformation groups on spaces
A differentiable group is a group in the category of (reduced and nonreduced) differentiable spaces. Special cases are the rationals ℚ, Lie groups, formal groups over ℝ or ℂ; in general there is some mixture of those types, the general structure, however, is not yet completely determined. The following gives as a corollary a first essential answer. It is shown, more generally,that a locally compact topological transformation group, operating effectively on a differentiable space X (which satisfies...
Controllability on the group of diffeomorphisms
Déploiement universel d'une application de codimension finie
Diffeomorphism groups on noncompact manifolds
Diffeomorphisms of the Circle and Geodesic Fields on Riemannian Surfaces of Genus One.
Distributions Invariant under a Group of Diffeomorphisms.
Equivariant Jets.
Étude des -structures de codimension 1 sur la sphère
Cet article contient une démonstration géométrique simple de pour .Ce résultat (démontré aussi par Mather comme corollaire d’un théorème beaucoup plus général) apparaît comme une conséquence du théorème de Michael Herman : .L’appendice contient une étude des structures sur les surfaces et un résultat sur la cohomologie de .
Existence of permanent and breaking waves for a shallow water equation : a geometric approach
The existence of global solutions and the phenomenon of blow-up of a solution in finite time for a recently derived shallow water equation are studied. We prove that the only way a classical solution could blow-up is as a breaking wave for which we determine the exact blow-up rate and, in some cases, the blow-up set. Using the correspondence between the shallow water equation and the geodesic flow on the manifold of diffeomorphisms of the line endowed with a weak Riemannian structure, we give sufficient...
Factorizable groups of homeomorphisms
Feuilletages et diffeomorphismes infiniment tangents ä Fidentite
Formes differentielles fermées non singulières sur le n-tore.
Free subgroups of diffeomorphism groups
Fusion en algèbres de von Neumann et groupes de lacets
Generalized Fluid Flows, Their Approximation and Applications.
Generic properties of the rotation number of one-parameter diffeomorphisms of the circle