Convexité rationnelle des sous-variétés immergées lagrangiennes
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 in combinatorial structures
Convexity of Capillary Surfaces in the Outer Space.
Convexity of Hamiltonian manifolds.
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.
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Convexity theorem for isoparametric submanifolds.
Coordonnées polaires sur les surfaces riemanniennes singulières
Nous étudions les conditions sous lesquelles un point d’une surface riemannienne possède un voisinage pouvant être paramétrisé par des coordonnées polaires. Le point en question peut être un point régulier ou un point singulier conique. Nous étudions aussi la régularité de ces coordonnées polaires en fonction de la régularité de la courbure.
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 “Properties of pseudoholomorphic curves in symplectisations. I : asymptotics”
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”