Global Stability for Holomorphic Foliations in Kaehler Manifolds

Details Global Stability for Holomorphic Foliations in Kaehler Manifolds Global Stability for Holomorphic Foliations in Kaehler Manifolds

2000-02-11

arxiv.org/abs/math/0002086v2

Qualitative Theory of Dynamical Systems, 2, pp.381-384, 2001.

Mathematics

Geometric Topology

3 pages

Scientific paper

10.1007/BF02969347

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.

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