Calculus of flows on convenient manifolds.
Calculus of flows on convenient manifolds
The study of diffeomorphism group actions requires methods of infinite dimensional analysis. Really convenient tools can be found in the Frölicher - Kriegl - Michor differentiation theory and its geometrical aspects. In terms of it we develop the calculus of various types of one parameter diffeomorphism groups in infinite dimensional spaces with smooth structure. Some spectral properties of the derivative of exponential mapping for manifolds are given.
Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes
Characterizing infinite dimensional manifolds topologically
Classification analytique de structures de Poisson
Notre étude porte sur une catégorie de structures de Poisson singulières holomorphes au voisinage de et admettant une forme normale formelle polynomiale i.e. un nombre fini d’invariants formels. Les séries normalisantes sont divergentes en général. On montre l’existence de transformations normalisantes holomorphes sur des domaines sectoriels de la forme , où est un monôme associé au problème. Il suit une classification analytique.
Classification of free actions by some metacyclic groups on
Closed curves and circle homomorphisms in groups of diffeomorphisms
Closed surfaces with different shapes that are indistinguishable by the SRNF
The Square Root Normal Field (SRNF), introduced by Jermyn et al. in [5], provides a way of representing immersed surfaces in , and equipping the set of these immersions with a “distance function" (to be precise, a pseudometric) that is easy to compute. Importantly, this distance function is invariant under reparametrizations (i.e., under self-diffeomorphisms of the domain surface) and under rigid motions of . Thus, it induces a distance function on the shape space of immersions, i.e., the space...
Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière
Cohomologie quantique
Cohomology of Symplectomorphism Groups and Critical Values of Hamiltonians.
Cohomology of the Yang-Mills gauge orbit space and dimensional reduction
Comment choisir une connexion au hasard ?
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.
Compactness of moduli spaces of negatively curved metrics
Competing Symmetries, the Logarithmic HLS Inequality and Onofri's Inequality on Sn.
Configuration spaces and Vassiliev classes in any dimension.