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

作　　者：En Chao BI 

机构地区：[1]School of Mathematics and Statistics,Qingdao University,Qingdao 266071,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第5期1215-1228,共14页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.12271411,11901327)。

摘　　要：In this paper,we study a family of Hartogs domains fibred over Hermitian symmetric manifolds being a unit ball in C^(m).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.

关 键 词：Proper holomorphic mapping Hartogs domains Hermitian symmetric manifolds 

分 类 号：O186.1[理学—数学]