Global Stability for Holomorphic Foliations in Kaehler Manifolds
Geometric Topology
2010-04-20 v2 Complex Variables
Differential Geometry
Abstract
We prove the following theorem for Holomorphic Foliations in compact complex kaehler manifolds: if there is a compact leaf with finite holonomy, then every leaf is compact with finite holonomy. As corollary we reobtain stability theorems for compact foliations in Kaehler manifolds of Edwards-Millett-Sullivan and Hollman.
Cite
@article{arxiv.math/0002086,
title = {Global Stability for Holomorphic Foliations in Kaehler Manifolds},
author = {Jorge Vitorio Pereira},
journal= {arXiv preprint arXiv:math/0002086},
year = {2010}
}
Comments
3 pages