On homogeneous holomorphic conformal structures
Differential Geometry
2024-05-07 v1
Abstract
We study compact complex manifolds admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group . We prove that if the group acts transitively and essentially, then is conformally flat.
Cite
@article{arxiv.2405.02527,
title = {On homogeneous holomorphic conformal structures},
author = {Mehdi Belraouti and Mohamed Deffaf and Yazid Raffed and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:2405.02527},
year = {2024}
}