SEMICONTINUITY OF AUTOMORPHISM GROUPS OF STRONGLY PSEUDOCONVEX DOMAINS: THE LOW DIFFERENTIABILITY CASE

被引：8

作者：

Greene, Robert E. ^{[1
]}

Kim, Kang-Tae ^{[2
]}

Krantz, Steven G. ^{[3
]}

Seo, Aeryeong ^{[4
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, South Korea

[3] Washington Univ, Dept Math, St Louis, MO 63130 USA

[4] Korea Inst Adv Study, Sch Math, Seoul 151, South Korea

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2013年 / 262卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

automorphism group; Bergman metric; curvature; extension of holomorphic maps; BERGMAN-KERNEL;

D O I：

10.2140/pjm.2013.262.365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the semicontinuity of automorphism groups for perturbations of domains in complex space or in complex manifolds. We provide a new approach to the study of such results for domains having minimal boundary smoothness. The emphasis in this study is on the low differentiability assumption and the new methodology developed accordingly.

引用

页码：365 / 395

页数：31

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