4 papers · 1 filter
Weakly almost-Fuchsian manifolds are nearly-Fuchsian
Manh-Tien Nguyen, Jean-Marc Schlenker, Andrea Seppi
We show that a hyperbolic three-manifold containing a closed minimal surface with principal curvatures in also contains nearby (non-minimal) surfaces with principal cu…
Entire hypersurfaces of constant scalar curvature in Minkowski space
Pierre Bayard, Andrea Seppi
We show that every regular domain in Minkowski space which is not a wedge admits an entire hypersurface whose domain of dependence is an…
A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane
François Fillastre, Andrea Seppi
We show that every one-harmonic map, in the sense of Trapani and Valli, from a Hadamard surface of pinched negative curvature to has image the interior of the convex…
Entire surfaces of constant curvature in Minkowski 3-space
Francesco Bonsante, Andrea Seppi, Peter Smillie
This paper concerns the global theory of properly embedded spacelike surfaces in three-dimensional Minkowski space in relation to their Gaussian curvature. We prove that every regu…