Classification of Proper Holomorphic Mappings Between Certain Unbounded Non-hyperbolic Domains

Classification of Proper Holomorphic Mappings Between Certain Unbounded Non-hyperbolic Domains
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DOI:
10.1007/s12220-018-9995-4
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发表时间:
2018-02
期刊:
The Journal of Geometric Analysis
影响因子:
--
通讯作者:
Zhenhan Tu;Lei Wang
Zhenhan Tu;Lei Wang
中科院分区:
其他
文献类型:
--
作者:
Zhenhan Tu;Lei Wang

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The Fock–Bargmann–Hartogs domain() inis defined by the inequalitywhere, which is an unbounded non-hyperbolic domain in. Recently, Tu–Wang obtained the rigidity result that proper holomorphic self-mappings ofare automorphisms for, and found a counter-example to show that the rigidity result is not true for. In this article, we obtain a classification of proper holomorphic mappings betweenandwith.