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On homogeneous holomorphic conformal structures

Published 4 May 2024 in math.DG | (2405.02527v1)

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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