4 papers
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…
Maximality of the futures of points in globally hyperbolic maximal conformally flat spacetimes
Rym Smaï
Let M be a globally hyperbolic conformally spacetime. We prove that the indecomposable past/future sets (abbrev. IPs/IFs) -in the sense of Penrose, Kronheimer and Geroch -of the un…
Causal completion of a globally hyperbolic conformally flat spacetime
Rym Smaï
In [6], Geroch, Kronheimer and Penrose introduced a way to attach ideal points to a spacetime M , defining the causal completion of M. They established that this is a topological s…
Enveloping space of a globally hyperbolic conformally flat spacetime
Rym Smaï
We prove that any simply-connected globally hyperbolic conformally flat spacetime V can be conformally embedded in a bigger conformally flat spacetime, called enveloping space of V…