On the Proper Holomorphic Mappings between Equidimensional Hartogs Domains over Hermitian Symmetric Manifolds

被引：0

作者：

Bi, En Chao ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Proper holomorphic mapping; Hartogs domains; Hermitian symmetric manifolds; RIGIDITY; MAPS; SPACES;

D O I：

10.1007/s10114-023-2054-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a family of Hartogs domains fibred over Hermitian symmetric manifolds being a unit ball in DOUBLE-STRUCK CAPITAL Cm. The aim of the present study is to establish the rigidity results about proper holomorphic mappings between two equidimensional Hartogs domains over Hermitian symmetric manifolds. In particular, we can fully determine its biholomorphic equivalence and automorphism group.

引用

页码：1215 / 1228

页数：14

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