Some Aspects of Holomorphic Mappings: A Survey

被引：4
|
作者：
Pinchuk, Sergey [1 ]
Shafikov, Rasul [2 ]
Sukhov, Alexandre [3 ]
机构：
[1] Indiana Univ, Dept Math, Rawles Hall,831 E Third St, Bloomington, IN 47405 USA
[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
[3] Univ Lille, Sci & Technol, UFR Math, F-59655 Villeneuve Dascq, France
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 298卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
STRICTLY PSEUDOCONVEX DOMAINS; CAUCHY-RIEMANN MANIFOLDS; BOUNDARY-REGULARITY; AUTOMORPHISM-GROUPS; CONVEX DOMAINS; LOCAL CHARACTERIZATION; ANALYTIC CONTINUATION; REFLECTION PRINCIPLE; GROMOV HYPERBOLICITY; REAL HYPERSURFACES;
D O I：
10.1134/S0081543817060153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This expository paper is concerned with the properties of proper holomorphic mappings between domains in complex affine spaces. We discuss some of the main geometric methods of this theory, such as the reflection principle, the scaling method, and the Kobayashi-Royden metric. We sketch the proofs of certain principal results and discuss some recent achievements. Several open problems are also stated.
引用
收藏
页码：212 / 247
页数：36
相关论文
共 50 条
12345