-analyticity of Schrödinger semigroups on Riemannian manifolds
La théorie des points fixes des applications à itérée condensante
Large group actions on manifolds.
Le spectre marqué des longueurs des surfaces à courbure négative
Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
Les 2-sphères de vues par A. Hatcher et la conjecture de Smale
Les travaux de Nabutovsky et Weinberger sur la complexité de l'espace des variétés riemanniennes
Les variétés hyperboliques sont des minima locaux de l'entropie topologique.
Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.
Lie algebras connected with associative ones
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...
Local contractibility of spaces of homeomorphisms
Local density of diffeomorphisms with large centralizers
Given any compact manifold , we construct a non-empty open subset of the space of -diffeomorphisms and a dense subset such that the centralizer of every diffeomorphism in is uncountable, hence non-trivial.
Local Groups of Differentiable Transformations.
Local homology of groups of volume preserving diffeomorphisms. I
Local homology of groups of volume-preserving diffeomorphisms, II.
Local homology of groups of volume-preserving diffeomorphisms. III
Local Mappings on spaces of differentiable functions.
Local solvability of a constrained gradient system of total variation.