The paper is devoted to the proof of the following Theorem 1.1 LetM be a complete Riemannian manifold homeomorphic to the Euclidean space. Let the sectional curvature of M satisfy 0 ≤ K ≤ 1 at any point and any two-dimensional direction. Then every geodesic in M of length ≤ pi is minimal
International audienceWe construct a parabolic entire minimal graph $S$ over a finite topology compl...
ABSTRACT. Using the symplectic definition of the Holmes-Thompson volume we prove that totally geodes...
Abstract. In this paper, we study complete open manifolds with sectional curvature bounded from belo...
AbstractWe prove that a minimal immersion of a complete Riemannian manifold M into another complete ...
The space of totally geodesic maps in each homotopy class [F] from a compact Riemannian manifold M w...
Abstract. We prove that a simply-connected complete Riemannian manifold of dimension ≥ 3 whose secti...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable h...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
If M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is defined as the infimu...
ABSTRACT: Let (Si, gi), i = 1, 2 be two compact riemannian surfaces isometrically embedded in euclid...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete ...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
International audienceWe construct a parabolic entire minimal graph $S$ over a finite topology compl...
ABSTRACT. Using the symplectic definition of the Holmes-Thompson volume we prove that totally geodes...
Abstract. In this paper, we study complete open manifolds with sectional curvature bounded from belo...
AbstractWe prove that a minimal immersion of a complete Riemannian manifold M into another complete ...
The space of totally geodesic maps in each homotopy class [F] from a compact Riemannian manifold M w...
Abstract. We prove that a simply-connected complete Riemannian manifold of dimension ≥ 3 whose secti...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable h...
International audienceIf M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is...
If M is a finite volume complete hyperbolic 3-manifold, the quantity A_1(M) is defined as the infimu...
ABSTRACT: Let (Si, gi), i = 1, 2 be two compact riemannian surfaces isometrically embedded in euclid...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete ...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
International audienceWe construct a parabolic entire minimal graph $S$ over a finite topology compl...
ABSTRACT. Using the symplectic definition of the Holmes-Thompson volume we prove that totally geodes...
Abstract. In this paper, we study complete open manifolds with sectional curvature bounded from belo...