3 papers
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.DG2026
Completeness of closed Kleinian flat Pseudo-Riemannian Manifolds of Signature (2,2)
Farid Diaf, Blandine Galiay, Malek Hanounah
Let denote the model space of flat pseudo-Riemannian manifolds of signature . We prove that the only domain divisible by a discrete subgroup of the isomet…
math.DG2025
Domination between non-Fuchsian representations and anti-de Sitter geometry
Farid Diaf, Abderrahim Mesbah, Nathaniel Sagman
Motivated by work of various authors on domination between surface group representations, harmonic maps, and -dimensional anti-de Sitter geometry, we study a new domination prob…