The Bundle of Paracomplex Structures

被引：1
|
作者：
Kornev, E. S. [1 ]
机构：
[1] Kemerovo State Univ, Kemerovo, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2020年 / 61卷 / 04期
关键词：
paracomplex structure; para-Kahler structure; almost product; 514; 763;
D O I：
10.1134/S0037446620040102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under consideration are the bundle of paracomplex structures and the related problems of the existence of a paracomplex structure on a manifold. We obtain some explicit descriptions for the bundle of paracomplex structures for spheres of dimensions 2, 4, and 6. The existence is proved of a nonitegrable almost paracomplex structure on the six-dimensional sphere.
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页码：687 / 696
页数：10
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