Almost complex structures for symplectic pairs

被引：1
|
作者：
Her, Hai-Long [1 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2018年 / 235卷
关键词：
Symplectic pair; Almost complex structure; GEOMETRY;
D O I：
10.1016/j.topol.2017.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M be a 2n-dimensional smooth manifold with a linear symplectic pair (omega, tau) which is a pair of skew-symmetric 2-forms of constant ranks with complementary kernel foliations. We study properties of almost complex structures compatible with the symplectic pair on M. We show that the space of compatible almost complex structures is contractible. This generalizes a result on compatible almost complex structures for symplectic manifolds. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：35 / 42
页数：8
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