Subtwistor Structures and Subtwistor Bundle

被引：1
|
作者：
Kornev, E. S. [1 ]
机构：
[1] Kemerovo State Univ, Kemerovo, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2019年 / 60卷 / 06期
关键词：
subtwistor structure; sub-Kahler structure; subtwistor bundle; radical of an exterior form; INVARIANT AFFINOR;
D O I：
10.1134/S0037446619060107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notions of subtwistor structure and subtwistor bundle. Under consideration is some particular case of subtwistor structures, sub-Kahler structures. The subtwistor bundle for the four-dimensional sphere is described. We also provide some examples of the manifolds that admit or do not admit any subtwistor structure. For a real manifold of arbitrary dimension, we give conditions for the existence of a sub-Kaahler structure, which implies the existence of sub-Kaahler submanifolds.
引用
收藏
页码：1022 / 1031
页数：10
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