Holomorphic geometric structures on Hopf manifolds

Matthieu Madera

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arXiv · 2501.11364

Holomorphic geometric structures on Hopf manifolds

Matthieu Madera

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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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BibTeX RIS

Matthieu Madera. 2025-01-20. Holomorphic geometric structures on Hopf manifolds. https://arxiv.org/abs/2501.11364

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