Global stability for Holomorphic foliations on Kaehler manifolds

被引：0

作者：

Pereira J.V. ^{[1
]}

机构：

[1] Instituto de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina, 22460-320 - Rio de Janeiro, RJ

来源：

Qualitative Theory of Dynamical Systems | 2001年 / 2卷 / 2期

关键词：

Compact leaf; Holomorphic foliations; Holonomy;

D O I：

10.1007/BF02969347

中图分类号：

学科分类号：

摘要：

We prove the following theorem for Holomorphic Foliations on compact complex Kaehler manifolds: if there exist a compact leaf with finite holonomy, then every leaf is compact with finite Holonomy.

引用

页码：381 / 384

页数：3

共 9 条

[1]

Brunella M., A global stability theorem for transversely holomorphic foliations, Annals of Global Analysis and Geometry, 15, pp. 179-186, (1997)

[2]

Burnside W., On criteria for the finiteness of the order of a group of linear substitutions, Proc. London Math. Soc, 3, 2, pp. 435-440, (1905)

[3]

Camacho C., Lins Neto A., Geometric Theory of Foliations, (1985)

[4]

Edwards R., Millett K., Sullivan D., Foliations with all leaves compact, Topology, 16, pp. 13-32, (1977)

[5]

Epstein D.B.A., Foliations with all leaves compact, Ann. Inst. Fourier, 26, pp. 265-282, (1976)

[6]

Godbillon C., Feuilletages, études géométriques, (1991)

[7]

Herzog M., Praeger C., On the order of linear groups with fixed finite exponent, Jr. of Algebra, 43, pp. 216-220, (1976)

[8]

Holmann H., On the stability of holomorphic foliations, LNM, 798, pp. 192-202, (1980)

[9]

Sullivan D., A counterexample to the periodic orbit conjecture, Inst. Hautes Études Sci. Publ. Math, 46, pp. 5-14, (1976)

← 1 →