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arXiv · 0710.4492

Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds

Sorin Dumitrescu·Abdelghani Zeghib
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Abstract

We study compact complex 3-manifolds admitting holomorphic Riemannian metrics. We prove a uniformization result: up to a finite unramified cover, such a manifold admits a holomorphic Riemannian metric of constant sectionnal curvature.

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Sorin Dumitrescu, Abdelghani Zeghib. 2007-10-24. Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds. https://arxiv.org/abs/0710.4492

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