International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian (n+1)-manifold (2≤n≤6) that minimize area among such hypersurfaces. We show they exist and arise either by minimization techniques or by min-max methods: they have index at most 1. We apply this to obtain a lower area bound for such minimal surfaces in some hyperbolic 3-manifolds
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are min...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
Abstract. In this work we prove the existence of embedded closed minimal hypersurfaces in non-compac...
Let M be a Riemannian manifold and let F be a closed surface. A map f: F---,M is called least area i...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
We prove there exists a compact embedded minimal surface in a complete finite volume hyperbolic 3-ma...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are min...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the ...
Abstract. In this work we prove the existence of embedded closed minimal hypersurfaces in non-compac...
Let M be a Riemannian manifold and let F be a closed surface. A map f: F---,M is called least area i...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
We prove there exists a compact embedded minimal surface in a complete finite volume hyperbolic 3-ma...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are min...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
Consider the following question: Does there exist a three-manifold M for which, given any riemannian...
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