Complex manifolds with generating tangent bundles
Algebraic Geometry
2012-03-16 v4 Differential Geometry
Abstract
Let be a close complex manifold and its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then is a complex homogeneous manifold. Our proof depends on the complex version of Chow-Rashevskii theorem in Carnot-Caratheodory spaces.
Keywords
Cite
@article{arxiv.0808.2690,
title = {Complex manifolds with generating tangent bundles},
author = {Renyi Ma},
journal= {arXiv preprint arXiv:0808.2690},
year = {2012}
}