Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces

被引：8

作者：

Huang, Xiaojun ^{[1
]}

Lu, Jin ^{[2
]}

Tang, Xiaomin ^{[2
]}

Xiao, Ming ^{[3
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

[3] Univ Calif San Diego, Dept Math, 9500 Gilman Dr, La Jolla, CA 92093 USA

来源：

ADVANCES IN MATHEMATICS | 2020年 / 374卷

关键词：

Indefinite hyperbolic spaces; Real hyperquadrics; Isometric mappings; Proper holomorphic mappings; REAL HYPERSURFACES; SUPER-RIGIDITY; CR EMBEDDINGS; MAPPINGS; MAPS; HYPERQUADRICS; CONVERGENCE; COMPLEXITY;

D O I：

10.1016/j.aim.2020.107388

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide in this paper a boundary characterization in terms of the boundary CR invariants (or pseudo-Hermitian invariants) for holomorphic isometric embeddings between indefinite hyperbolic spaces of general codimensions. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：37

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