Cycle spaces of flag domains on Grassmannians and rigidity of holomorphic mappings
Cycle spaces of flag domains on Grassmannians and rigidity of holomorphic mappings
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DOI：
10.4310/mrl.2012.v19.n6.a4
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发表时间：
2012
影响因子：
1
通讯作者：
Sui-Chung Ng
中科院分区：
文献类型：
--
作者：
Sui-Chung Ng
研究了格拉斯曼算子上SU（p，q）型旗域上的某些循环空间及其与格拉斯曼算子之间全纯映射刚性的关系。刚性得到的全纯映射，保持这些标志域的杰出的边界。我们的结果涵盖了广义等号球之间局部真全纯映射的Baouendi-Huang定理的某些特殊情况。
We study certain cycle spaces on flag domains of SU(p, q)-type on Grassmannians and their relations with the rigidity of holomorphic mappings between Grassmannians. Rigidity is obtained for those holomorphic maps that preserve the distinguished boundaries of these flag domains. Our results cover in particular certain special cases of Baouendi-Huang’s Theorem on local proper holomorphic mappings between generalized balls of equal signature.