3 papers
math.DG2026
Polygonal surfaces in pseudo-hyperbolic spaces
Alex Moriani
A polygonal surface in the pseudo-hyperbolic space H^(2,n) is a complete maximal surface bounded by a lightlike polygon in the Einstein universe Ein^(1,n) with finitely many vertic…
math.DG2026
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…
math.DG2025
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…