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.
Convexity estimates for flows by powers of the mean curvature
We study the evolution of a closed, convex hypersurface in in direction of its normal vector, where the speed equals a power of the mean curvature. We show that if initially the ratio of the biggest and smallest principal curvatures at every point is close enough to , depending only on and , then this is maintained under the flow. As a consequence we obtain that, when rescaling appropriately as the flow contracts to a point, the evolving surfaces converge to the unit sphere.
Convexity on the space of Kähler metrics
These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Convexity theorem for isoparametric submanifolds.
Cordes et géodésiques fermées
Coréduction algébrique d'un espace analytique faiblement Kählérien compact.
Correction to "C*-actions".
Correction to : “On isospectral deformations of riemannian metrics. II”
Correction to "On the characterization of flat metrics by the spectrum"
Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Correction to: Stabel Minimal Surfaces and Spatial Topology in General Relativity.
Correction to the paper “Compact fiberings of homogeneous spaces. I”
Correction to the paper "Distortions of a bounded domain by holomorphic mappings".
Correction to the paper: Homogeneous Einstein metrics on Stiefel manifolds
Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)