The maximum principle at infinity for minimal surfaces in flat three manifolds.
The mean curvature of the second fundamental form of a hypersurface.
The Nash-Kuiper process for curves
A strictly short embedding is an embedding of a Riemannian manifold into an Euclidean space that strictly shortens distances. From such an embedding, the Nash-Kuiper process builds a sequence of maps converging toward an isometric embedding. In that paper, we describe this Nash-Kuiper process in the case of curves. We state an explicit formula for the limit normal map and perform its Fourier series expansion. We then adress the question of Holder regularity of the limit map.
The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in .
The Order of Helical Minimal Imbeddings of Strongly Harmonic Manifolds.
The Plateau-Douglas problem for nonorientable minimal surfaces.
The push-out space of immersed spheres.
The rigidity of Clifford torus S1 (...) x Sn-1 (...).
The Scalar Curvature of Minimal Hypersurfaces in Spheres.
The second variation of area of minimal surfaces in four-manifolds.
The sharp isoperimetric inequality for minimal surfaces with radially connectred boundary in hyperbolic space.
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature.
The strong halfspace theorem for minimal surfaces.
The Structure of Minimizing Hypersurfaces Mod 4.
The structure of single-periodic minimal surfaces.
The Tightness of Extrinsic Symmetric Submanifolds.
The tightness of tubes.
The topology of large -surfaces bounded by a convex curve
The Torsion Form of Submanifolds in EN.
The Trapping Property of Totally Geodesic Hyperplanes in Hadamard Spaces.