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arXiv · 2405.02527

On homogeneous holomorphic conformal structures

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

We study compact complex manifolds $M$ admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group $G$. We prove that if the group $G$ acts transitively and essentially, then $M$ is conformally flat.

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Mehdi Belraouti, Mohamed Deffaf, Yazid Raffed, Abdelghani Zeghib. 2024-05-04. On homogeneous holomorphic conformal structures. https://arxiv.org/abs/2405.02527

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