A group-theoretic characterization of the direct product of a ball and a Euclidean space

被引：8

作者：

Byun, Jisoo ^{[1
]}

Kodama, Akio

Shimizu, Satoru

机构：

[1] Univ Aix Marseille 1, Marseille, France

[2] Pusan Natl Univ, Dept Math, Pusan, Keum Jeong Gu, South Korea

[3] Kanazawa Univ, Grad Sch Nat Sci & Technol, Div Math & Phys Sci, Kanazawa, Ishikawa 9201192, Japan

[4] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

FORUM MATHEMATICUM | 2006年 / 18卷 / 06期

关键词：

D O I：

10.1515/FORUM.2006.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a connected Stein manifold of dimension n. We show that if the holomorphic automorphism group of M is isomorphic to the holomorphic automorphism group of B-k x Cn-k as topological group, then M itself is biholomorphically equivalent to B-k x Cn-k, where B-k denotes the open unit ball in C-k.

引用

页码：983 / 1009

页数：27

共 7 条

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[6] [No title captured]
[7] [No title captured]

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