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Article Dans Une Revue Differential Geometry and its Applications Année : 2023

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

Résumé

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.

Dates et versions

hal-04271827 , version 1 (06-11-2023)

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Citer

Mehdi Belraouti, Mohamed Deffaf, Yazid Raffed, Abdelghani Zeghib. Pseudo-Conformal Actions of the M{\"o}bius Group. Differential Geometry and its Applications, 2023, 91, pp.102070. ⟨10.1016/j.difgeo.2023.102070⟩. ⟨hal-04271827⟩
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