Ein Homotopieerweiterungssatz für kompakte Vektorfelder in topologischen Vektorräumen (Vorläufige Mitteilung)
Ein Indexsatz für Flächen konstanter mittlerer Krümmung.
Einstein Metrics and Complex Structures.
Ensembles singuliers topologiques dans les espaces fonctionnels entre variétés
Equivariance, variational principles, and the Feynman integral.
Equivariant Cohomology and Topological Theories
Equivariant Jets.
Equivariant maps of joins of finite G-sets and an application to critical point theory
A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function , where G is a finite nontrivial group acting freely and orthogonally on . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.
Erratum : «Approximation par la diffusion et automorphismes hyperboliques du tore»
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 .
Étude homotopique des espaces de plongements
Evolution differential equations in Fréchet sequence spaces
We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.
Existence et compacité d'immersions isométriques elliptiques
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...
Extended moduli spaces of flat connections on Riemann surfaces.
Extreme Curves Bound Embedded Minimal Surfaces of the Type of the Disc.