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
Converse mean value theorems on trees and symmetric spaces.
Convex functionals and generalized harmonic maps into spaces of non positive curvature.
Convex functions on complete noncompact manifolds : differentiable structure
Convex Functions on Complete Noncompact Manifolds: Topological Structure.
Convex Hulls of Complete Minimal Surfaces.
Convex Immersions of Closed Surfaces in E3.
Convex isometric folding.
Convex Surfaces Whose Geodesics Are Planar.
Convexes hyperboliques et fonctions quasisymétriques
Every bounded convex open set Ω of Rm is endowed with its Hilbert metric dΩ. We give a necessary and sufficient condition, called quasisymmetric convexity, for this metric space to be hyperbolic. As a corollary, when the boundary is real analytic, Ω is always hyperbolic. In dimension 2, this condition is: in affine coordinates, the boundary ∂Ω is locally the graph of a C1 strictly convex function whose derivative is quasisymmetric.
Convexité en topologie de contact.