Pseudo-Conformal actions of semisimple Lie groups

Fuente: arXiv
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Auteurs principaux: Belraouti, Mehdi, Deffaf, Mohamed, Zeghib, Abdelghani
Format: Preprint
Publié: 2025
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author Belraouti, Mehdi
Deffaf, Mohamed
Zeghib, Abdelghani
author_facet Belraouti, Mehdi
Deffaf, Mohamed
Zeghib, Abdelghani
contents We consider the pseudo-Riemannian Lichnerowicz conjecture in the homogeneous setting. In particular, we show that any compact connected pseudo-Riemannian manifold $M$ on which a semisimple group $G$ acts conformally, essentially and transitively, is conformally flat.
format Preprint
id arxiv_https___arxiv_org_abs_2511_16146
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pseudo-Conformal actions of semisimple Lie groups
Belraouti, Mehdi
Deffaf, Mohamed
Zeghib, Abdelghani
Differential Geometry
We consider the pseudo-Riemannian Lichnerowicz conjecture in the homogeneous setting. In particular, we show that any compact connected pseudo-Riemannian manifold $M$ on which a semisimple group $G$ acts conformally, essentially and transitively, is conformally flat.
title Pseudo-Conformal actions of semisimple Lie groups
topic Differential Geometry
url https://arxiv.org/abs/2511.16146