Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)
Contribution à l’histoire de la théorie des géodésiques au XIXe siècle
La théorie des géodésiques d’une surface se situe à l’intersection de plusieurs domaines : la géométrie différentielle, le calcul des variations, la théorie des équations différentielles et la mécanique. Au début du xixe siècle, la théorie locale des géodésiques est un exemple bien connu d’application des méthodes infinitésimales à la géométrie. Cependant, l’équation des géodésiques est trop difficile pour être résolue et les méthodes directes ne donnent que peu d’informations sur le comportement...
Contribution to the characterization of the sphere in
Contribution to the theory of pseudocongruences with projective connection
Contributions of rational homotopy theory to global problems in geometry
Contributions to Affine Surface Area.
Contributions to polynomial conformal tensors
Controlled constructions of Reeb fields and applications. (Constructions contrôlées de champs de Reeb et applications.)
Convergence and accuracy of approximation methods in general relativity. The time-independent case
Convergence and rigidity of manifolds under Ricci curvature bounds.
Convergence de variétés et convergence du spectre du laplacien
Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics
We prove the convergence at a large scale of a non-local first order equation to an anisotropic mean curvature motion. The equation is an eikonal-type equation with a velocity depending in a non-local way on the solution itself, which arises in the theory of dislocation dynamics. We show that if an anisotropic mean curvature motion is approximated by equations of this type then it is always of variational type, whereas the converse is true only in dimension two.
Convergence of a trajectory of a vector subspace under the action of linear map: general case.
Convergence of Bergman geodesics on
The space of Kähler metrics in a fixed Kähler class on a projective Kähler manifold is an infinite dimensional symmetric space whose geodesics are solutions of a homogeneous complex Monge-Ampère equation in , where is an annulus. Phong-Sturm have proven that the Monge-Ampère geodesic of Kähler potentials of may be approximated in a weak sense by geodesics of the finite dimensional symmetric space of Bergman metrics of height . In this article we prove that in in the case of...
Convergence of riemannian manifolds
Convergence of Riemannian manifolds and Laplace operators. I
We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.
Convergence of riemannian manifolds with integral bounds on curvature. II
Convergence of riemannian manifolds with integral bounds on curvature. I
Convergence theorem for riemannian manifolds with boundary
Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below