Global Stability for Holomorphic Foliations in Kaehler Manifolds
classification
🧮 math.GT
math.CVmath.DG
keywords
compactfoliationskaehlermanifoldsfiniteholomorphicholonomyleaf
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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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