Odd Type Generalized Complex Structures on 4-Manifolds

被引：1
作者：
Chen, Haojie [1 ]
Nie, Xiaolan [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Generalized complex structure; Transversely holomorphic foliation; Bihermitian structure; 4-manifold;
D O I：
10.1007/s12220-019-00271-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. We also obtain an equivalent description of generalized complex structures in terms of almost bihermitian structures.
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页码：457 / 474
页数：18
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