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

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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.
28 pages

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Differential Geometry, Complex Variables, 53B21;53C56;53A55

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http://salesiana.dossiersoluciones.com/handle/123456789/140724

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4492
 http://arxiv.org/abs/0710.4492

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arXiv