Holomorphic Isometries from the Unit Ball into Symmetric Domains

被引：10

作者：

Upmeier, Harald ^{[1
]}

Wang, Kai ^{[2
]}

Zhang, Genkai ^{[3
]}

机构：

[1] Univ Marburg, Fachbereich Math, D-35032 Marburg, Germany

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Chalmers & Gothenburg Univ, Dept Math Sci, S-41296 Gothenburg, Sweden

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 01期

基金：

中国国家自然科学基金;

关键词：

POINCARE DISK; EMBEDDINGS; RIGIDITY; BEHAVIOR;

D O I：

10.1093/imrn/rnx110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct rational isometric holomorphic embeddings of the unit ball into higher rank symmetric domains D, first discovered by Mok, in an explicit way using Jordan triple systems, and we classify all isometric embeddings into tube domains of rank 2. For symmetric domains of arbitrary rank, including the exceptional domains of dimension 16 and 27, respectively, we characterize the Mok type mapping in terms of a vanishing condition on the second fundamental form of the image of F in D.

引用

页码：55 / 89

页数：35

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