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arXiv · 2305.18868

Pseudo-Conformal Actions of the M{\"o}bius Group

Mehdi Belraouti·Mohamed Deffaf·Yazid Raffed·Abdelghani Zeghib
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Abstract

We study compact connected pseudo-Riemannian manifolds $(M,g)$ on which the conformal group $\operatorname{Conf}(M,g)$ acts essentially and transitively. We prove, in particular, that if the non-compact semi-simple part of $\operatorname{Conf}(M,g)$ is the M{\"o}bius group, then $(M,g)$ is conformally flat.

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Mehdi Belraouti, Mohamed Deffaf, Yazid Raffed, Abdelghani Zeghib. 2023-05-30. Pseudo-Conformal Actions of the M{\"o}bius Group. https://arxiv.org/abs/2305.18868

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