12 citations · 28 across the 11 of their papers we have counts for
4 papers · 1 filter
Actions of semisimple Lie groups preserving a degenerate Riemannian metric
Esmaa Bekkara, Charles Frances, Abdelghani Zeghib
We prove a rigidity of the lightcone in Minkowski space. It is essentially the unique space endowed with a degenerate Riemannian metric, of lightlike type, and supporting an isomet…
Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
Sorin Dumitrescu, Abdelghani Zeghib
We study compact complex 3-manifolds admitting holomorphic Riemannian metrics. We prove a uniformization result: up to a finite unramified cover, such a manifold admits a holomorph…
Géométries Lorentziennes de dimension 3 : classification et complétude
Sorin Dumitrescu, Abdelghani Zeghib
We study 3-dimensional non-Riemannian Lorentz geometries, i.e. compact locally homogeneous Lorentz 3-manifolds with non-compact (local) isotropy group. One result is that, up to a…
Cosmological time versus CMC time II: the de Sitter and anti-de Sitter cases
Lars Andersson, Thierry Barbot, Francois Beguin +1
This paper continues the investigation of constant mean curvature (CMC) time functions in maximal globally hyperbolic spatially compact spacetimes of constant sectional curvature,…