Dynamics of Quasi-parabolic One-Resonant Biholomorphisms

被引：5
作者：
Bracci, Filippo [1 ]
Rong, Feng [2 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 03期
关键词：
Quasi-parabolic germs of biholomorphisms; Resonances; One-resonant; Attracting domains; ANALYTIC TRANSFORMATIONS; LOCAL-STRUCTURE; MANIFOLDS; TANGENT; INDEX;
D O I：
10.1007/s12220-012-9382-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C (n+1) fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one-dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps.
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页码：1497 / 1508
页数：12
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