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math.DG2024
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…
math.DG2024
Introduction to Kundt spaces
Lilia Mehidi, Abdelghani Zeghib
This paper provides an introduction to Kundt spaces, clarifying several important properties, many of which are typically scattered across the mathematical literature or presented…
math.DG2024
On homogeneous holomorphic conformal structures
Mehdi Belraouti, Mohamed Deffaf, Yazid Raffed +1
We study compact complex manifolds admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group . We prove that if th…