Artigo Acesso aberto Produção Nacional Revisado por pares

Global stability for Holomorphic Foliations on Kaehler manifolds

2001; Birkhäuser; Volume: 2; Issue: 2 Linguagem: Inglês

10.1007/bf02969347

ISSN

1662-3592

Autores

Jorge Vitório Pereira,

Tópico(s)

Holomorphic and Operator Theory

Resumo

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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