Holomorphic maps from the complex unit ball to Type IV classical domains

Holomorphic maps from the complex unit ball to Type IV classical domains
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DOI:
10.1016/j.matpur.2019.05.009
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发表时间:
2016-06
期刊:
Journal de Mathématiques Pures et Appliquées
影响因子:
--
通讯作者:
Ming Xiao;Yuan Yuan-Yuan
Ming Xiao;Yuan Yuan-Yuan
中科院分区:
其他
文献类型:
--
作者:
Ming Xiao;Yuan Yuan-Yuan

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证明了当余维较小时,全纯真映射从复单位球到IV型有界对称域的刚性结果。另外,在余维一的情况下建立分类结果。
We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.