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Global Stability for Holomorphic Foliations in Kaehler Manifolds

Jorge Vitorio Pereira
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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.

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BibTeXRIS

Jorge Vitorio Pereira. 2000-02-12. Global Stability for Holomorphic Foliations in Kaehler Manifolds. https://doi.org/10.1007/bf02969347

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