Rigidity of proper holomorphic mappings between equidimensional Hua domains
Rigidity of proper holomorphic mappings between equidimensional Hua domains
复制标题
等维华域间真全纯映射的刚性
DOI：
10.1007/s00208-014-1136-1
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发表时间：
2014-11
影响因子：
1.4
通讯作者：
Wang Lei
中科院分区：
文献类型：
--
作者：
Tu Zhenhan;Wang Lei
Hua domain, named after Chinese mathematician Loo-Keng Hua, is defined as a domain infibered over an irreducible bounded symmetric domainwith the fiber overbeing a-dimensional generalized complex ellipsoid. In general, a Hua domain is a nonhomogeneous bounded pseudoconvex domain without smooth boundary. The purpose of this paper is twofold. Firstly, we obtain what seems to be the first rigidity results on proper holomorphic mappings between two equidimensional Hua domains. Secondly, we determine the explicit form of the biholomorphisms between two equidimensional Hua domains. As a special conclusion of this paper, we completely describe the group of holomorphic automorphisms of the Hua domain.
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关于广义Hua域的自同构群
DOI：
10.1017/s0305004114000048
发表时间：
2014-02
影响因子：
0.8
作者：
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通讯作者：
Rong Feng
影响因子：
0.8
作者：
Zhenhan Tu
通讯作者：
Zhenhan Tu
影响因子：
2.5
作者：
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影响因子：
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作者：
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通讯作者：
S. Bell
DOI：
10.1070/sm1975v027n03abeh002520
发表时间：
1975-04
期刊：
Mathematics of The Ussr-sbornik
影响因子：
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通讯作者：
S. I. Pinčuk