Stabilité isopérimétrique
Stability of Minimal Surfaces and Eigenvalues of the Laplacian.
Stability of the geodesic flow for the energy
We study the stability of the geodesic flow as a critical point for the energy functional when the base space is a compact orientable quotient of a two-point homogeneous space.
Stability problems in a theorem of F. Schur.
Stable Harmonic Maps from Pinched Manifolds.
Stable norms of non-orientable surfaces
We study the stable norm on the first homology of a closed non-orientable surface equipped with a Riemannian metric. We prove that in every conformal class there exists a metric whose stable norm is polyhedral. Furthermore the stable norm is never strictly convex if the first Betti number of the surface is greater than two.
Stationary states
Steepest descent method on a Riemannian manifold: the convex case.
Structure au bord des variétés à courbure négative
Structure of flat subspaces in low-dimensional manilfolds of nonpositiv curvature.
Submanifolds with Prescribed Mean Curvature Vector.
Subtleties concerning conformal tractor bundles
The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topologically distinct associated tractor bundles for the same inducing representation. Consequences for homogeneous models and conformal holonomy are described. A careful presentation is made of background material concerning standard tractor bundles and...
Sufficient conditions for convexity in manifolds without focal points
In this paper, local, global, strongly local and strongly global supportings of subsets in a complete simply connected smooth Riemannian manifold without focal points are defined. Sufficient conditions for convexity of subsets in the same sort of manifolds have been derived in terms of the above mentioned types of supportings.
Suites de flots de Ricci en dimension 3 et applications
Dans cet article, on passe en revue certains résultats dus à Miles Simon sur le flot de Ricci de certains espaces métriques de dimension 3 exposés dans [28] et [26].On commence par voir le lien entre théorèmes de rigidité et convergence des variétés sur un exemple dû à Berger et Durumeric. On remarque ensuite que pour obtenir de tels théorèmes de rigidité en utilisant le flot de Ricci, il faut être capable de construire le flot pour des espaces peu lisses.Les deux dernières partie sont consacrées...
Sur la conjecture de A. Lichnerowicz
Sur la convergence des semimartingales continues dans et des martingales dans une variété
Sur la courbure des métriques riemanniennes invariantes des groupes de Lie et des espaces homogènes
Sur la mulitplicité de la première valeur propre non nulle du Laplacien.
Sur la multiplicité de la première valeur propre d'une surface de Riemann à courbure constante.
Sur la notion de l'espace presque euclidien