Holomorphic geometric structures on Hopf manifolds
Differential Geometry
2025-01-22 v1 Complex Variables
Abstract
We construct integrable holomorphic G-structures and flat holomorphic Cartan geometries on every complex Hopf manifold, without using the normal forms given by the Poincar\'e-Dulac Theorem. We provide a new proof of the latter using charts adapted with the geometric structures.
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Cite
@article{arxiv.2501.11364,
title = {Holomorphic geometric structures on Hopf manifolds},
author = {Matthieu Madera},
journal= {arXiv preprint arXiv:2501.11364},
year = {2025}
}
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50 pages