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

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

2007-10-24

arxiv.org/abs/0710.4492v1

Mathematics

Differential Geometry

28 pages

Scientific paper

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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