5 papers · 1 filter
Weil--Petersson homeomorphisms, minimal lagrangian diffeomorphisms, and maximal surfaces in anti-de Sitter space
Farid Diaf, Alex Moriani, Rym Smaï +2
In this paper, we study the class of Weil--Petersson circle homeomorphisms from the point of view of three-dimensional anti-de Sitter space . We show that a hom…
Generalized convexity and quantitative estimates for constant mean curvature spacelike hypersurfaces in Anti-de Sitter space
Enrico Trebeschi
We study the principal curvatures of properly embedded constant mean curvature hypersurfaces in the Anti-de Sitter space . We generalize the notion of convex hull…
On the scalar curvature of complete maximal spacelike submanifolds in pseudo-hypebolic spaces
Alex Moriani, Enrico Trebeschi
We study in this article the curvature of complete maximal spacelike submanifolds in pseudo-hyperbolic spaces. We show that the scalar curvature of these submanifolds is nonpositiv…
Constant mean curvature hypersurfaces in Anti-de Sitter space
Enrico Trebeschi
We study spacelike entire constant mean curvature hypersurfaces in Anti-de Sitter space of any dimension. First, we give a classification result with respect to their asymptotic bo…
The half-space model of pseudo-hyperbolic space
Andrea Seppi, Enrico Trebeschi
In this note we develop a half-space model for the pseudo-hyperbolic space , for any with . This half-space model embeds isometrically onto the com…