Global Stability for Holomorphic Foliations in Kaehler Manifolds

Jorge Vitorio Pereira

备注：: 3 pages
发表信息：: Qualitative Theory of Dynamical Systems, 2, pp.381-384, 2001.
DOI：: 10.1007/BF02969347

英文摘要：

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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