Theory of holomorphically projective mappings of KÄhlerian spaces

Theory of holomorphically projective mappings of KÄhlerian spaces
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卡勒空间的全纯射影映射理论

DOI:
10.1007/bf01153160
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发表时间:
1978
期刊:
Mathematical notes of the Academy of Sciences of the USSR
影响因子:
--
通讯作者:
I. Mikesh
I. Mikesh
中科院分区:
--
文献类型:
--
作者:
V. V. Domashev;I. Mikesh

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考虑了保持几乎复结构的Kühlerian空间的非平凡全纯射影映射。给出了Kühler空间的非平凡全纯保护映射存在张量特征标的充要条件。孤立出一类不允许非平凡全纯投射映射的Kählerian空间。
Nontrivial holomorphically projactive mappings of KÄhlerian spaces preserving almost complex structure are considered. Necessary and sufficient conditions of a tensor character for the existence of nontrivial holomorphically protective mappings of KÄhlerian spaces are found. A class of KÄhlerian spaces not admitting nontrivial holomorphically projective mappings is isolated.