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arXiv · 2511.16146

Pseudo-Conformal actions of semisimple Lie groups

Mehdi Belraouti·Mohamed Deffaf·Abdelghani Zeghib
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Abstract

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.

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Mehdi Belraouti, Mohamed Deffaf, Abdelghani Zeghib. 2025-11-20. Pseudo-Conformal actions of semisimple Lie groups. https://arxiv.org/abs/2511.16146

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