Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
Differential Geometry
2007-10-25 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.0710.4492,
title = {Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds},
author = {Sorin Dumitrescu and Abdelghani Zeghib},
journal= {arXiv preprint arXiv:0710.4492},
year = {2007}
}
Comments
28 pages