Un contre-exemple à la conjecture de Seifert
Feuilletages sur des sphères
Some recent developments in the theory of properly embedded minimal surfaces in
Actions of Rn on manifolds.
Les difféomorphismes du cercle
Minimal surfaces of finite type
Fenchel type theorems for submanifolds of Sn.
Manifolds which admit actions
Herissons et multiherissons (enveloppes parametrées par leur application de Gauss)
Quand deux sous-variétés sont forcées par leur géométrie à se rencontrer
Un théorème de conjugaison des feuilletages
Dans cet article, nous classifions les feuilletages par plans de . (Deux feuilletages sont “conjugués” s’il existe un homéomorphisme qui envoie les feuilles de l’un sur les feuilles de l’autre.) Le résultat démontré est analogue à celui de Denjoy pour le tore . Les classes de conjugaison sont indexées pour l’ensemble des irrationnels.
Open book structures and unicity of minimal submanifolds
We prove unicity of certain minimal submanifolds, for example Clifford annuli in . The idea is to consider the placement of the submanifold with respect to the (singular) foliation of by the Clifford annuli whose boundary are two fixed great circles a distance apart.
Asymptotic values of minimal graphs in a disc
We consider solutions of the prescribed mean curvature equation in the open unit disc of euclidean n-dimensional space. We prove that such a solution has radial limits almost everywhere; which may be infinite. We give an example of a solution to the minimal surface equation that has finite radial limits on a set of measure zero, in dimension two. This answers a question of Nitsche.
Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of and
We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic -dimensional space and we obtain removable singularities theorems.
A classification of the topological types of -actions on closed orientable 3-manifolds
On values of the Gauss map of complete minimal surfaces in R3.
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