Pontryagin forms on homogeneous spaces.
Prescribed mean curvature hypersurfaces in with convex planar boundary, II
Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes Application to the Minkowski problem in the Minkowski space
We study the existence of surfaces with constant or prescribed Gauss curvature in certain Lorentzian spacetimes. We prove in particular that every (non-elementary) 3-dimensional maximal globally hyperbolic spatially compact spacetime with constant non-negative curvature is foliated by compact spacelike surfaces with constant Gauss curvature. In the constant negative curvature case, such a foliation exists outside the convex core. The existence of these foliations, together with a theorem of C. Gerhardt,...
Prescribing mean curvature: existence and uniqueness problems.
Problème de Minkowski et surfaces à courbure constante dans les variétés hyperboliques
Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante
Proof of the double bubble conjecture.
Pseudo-immersions superminimales d'une surface de Riemann dans une variété riemannienne de dimension 4
Pseudo-umbilical spacelike submanifolds in the indefinite space form.
Quadric representation and Clifford minimal hypersurfaces.
Quartic isoparametric hypersurfaces and quadratic forms.
Quasi-minimizing surfaces in hyperbolic space.
Quaternionic analysis on Riemann surfaces and differential geometry.
Ramification of the Gauss map of complete minimal surfaces in on annular ends
We study the ramification of the Gauss map of complete minimal surfaces in on annular ends. This is a continuation of previous work of Dethloff-Ha (2014), which we extend here to targets of higher dimension.
Real hypersurfaces with constant totally real sectional curvature in a complex space form
We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.
Réalisations de surfaces hyperboliques complètes dans
Soit ; chaque métrique complète à courbure sur la sphère à trous admet une unique réalisation comme métrique induite sur une surface plongée dans dont le bord à l’infini est une réunion disjointe de cercles. De manière duale, chaque métrique complète à courbure sans géodésique fermée de longueur se réalise de manière unique comme troisième forme fondamentale d’une surface plongée dont le bord à l’infini est une réunion de cercles.
Reduction of Codimension of Regular Immersions.
Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space
Reduction of the Codimension of Regular Isometric Immersions.
Regular homotopy and total curvature I: Circle immersions into surfaces.