Classification of Recurrent Domains for Holomorphic Maps on Complex Projective Spaces

被引：0

作者：

Fornaess, John Erik ^{[1
,2
]}

Rong, Feng ^{[3
]}

机构：

[1] NTNU, Dept Math, N-7491 Trondheim, Norway

[2] Tsinghua Univ, Ctr Math Sci, Beijing 100084, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 02期

基金：

美国国家科学基金会; 高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Recurrent domains; Siegel domains; Holomorphic maps; Kobayashi hyperbolicity; DYNAMICS;

D O I：

10.1007/s12220-012-9355-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the classification of recurrent domains for holomorphic maps on two-dimensional complex projective space given in Fornaess and Sibony (Math. Ann. 301:813-820, 1995) to higher dimensions. In particular, we show that an invariant recurrent Fatou component is either an attracting basin or a Siegel domain or it retracts to a lower-dimensional Siegel manifold.

引用

页码：779 / 785

页数：7

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