13 citations · 64 across the 46 of their papers we have counts for
50 papers
Arithmetic structure of generalized Inoue--Bombieri manifolds
Brice Flamencourt, Abdelghani Zeghib
A Generalized Inoue--Bombieri (GIB) manifold is a compact quotient of a connected Riemannian product by a discrete subgroup of $\mathrm{Sim}(\mat…
Locally conformally homogeneous Lorentzian spaces
Thomas Leistner, Lilia Mehidi, Abdelghani Zeghib
We study locally conformally homogeneous Lorentzian manifolds of dimension at least , admitting an essential pseudo-group of local conformal transformations. Generalizing a rece…
Pseudo-Conformal actions of semisimple Lie groups
Mehdi Belraouti, Mohamed Deffaf, Abdelghani Zeghib
We consider the pseudo-Riemannian Lichnerowicz conjecture in the homogeneous setting. In particular, we show that any compact connected pseudo-Riemannian manifold on which a se…
A local Lorentzian Ferrand-Obata theorem for conformal vector fields
Sorin Dumitrescu, Charles Frances, Karin Melnick +2
For a conformal vector field on a closed, real-analytic, Lorentzian manifold we prove that the flow is locally isometric -- that it preserves a metric in the conformal class on a n…
Conformal transformations of spacetimes without observer horizons
Leonardo García-Heveling, Abdelghani Zeghib
We prove that for a certain class of Lorentzian manifolds, namely causal spacetimes without observer horizons, conformal transformations can be classified into two types: escaping…
Semi-Riemannian metrics on compact simple Lie Groups
Abdelghani Zeghib
This is a survey on left invariant semi-Riemannian metrics on compact Lie groups.