3 papers
math.DG2025
Conformal quotients of plane waves, and Lichnerowicz conjecture in a locally homogeneous setting
Lilia Mehidi
In the first part of the paper, we study conformal groups that act properly discontinuously and cocompactly on simply connected, non-flat homogeneous plane waves. We show that prop…
math.DG2020
Maximal simply connected Lorentzian surfaces with a Killing field and their completeness
Lilia Mehidi
In the first part of this paper, we give a global description of simply connected maximal Lorentzian surfaces whose group of isometries is of dimension 1 (i.e. with a complete Kill…
math.DG2019
On the existence and stability of two-dimensional Lorentzian tori without conjugate points
Lilia Mehidi
Infinitely many new examples of compact Lorentzian surfaces without conjugate points are given. Further, we study the existence and the stability of this property among Lorentzian…