3 papers
math.DG2025
The completeness problem on 3-dimensional non-unimodular Lie groups
Salah Chaib, Ana Cristina Ferreira
We consider the completeness problem for left-invariant Lorentzian metrics on 3-dimensional non-unimodular Lie groups, all of which have Lie algebra of the form $\mathbb{R} \ltimes…
math.DG2025
Isometries of 3-dimensional semi-Riemannian Lie groups
Salah Chaib, Ana Cristina Ferreira, Abdelghani Zeghib
Let be a connected, simply connected three-dimensional Lie group (unimodular or non-unimodular) equipped with a left-invariant (Riemannian or Lorentzian) metric . By definit…
math.DG2025
The completeness problem on the pseudo-homothetic Lie group
Salah Chaib, Ana Cristina Ferreira, Abdelghani Zeghib
Let us call pseudo-homothetic group the non-unimodular 3-dimensional Lie group that is the semi-direct product of acting non-semisimply on . In this arti…