Cotton tensors on almost coKahler 3-manifolds

被引：9

作者：

Wang, Yaning ^{[1
]}

机构：

[1] Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Henan, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2017年 / 120卷 / 02期

基金：

中国国家自然科学基金;

关键词：

almost coKahler 3-manifold; Lie group; conformally flat; eta-parallel Cotton tensor; MANIFOLDS;

D O I：

10.4064/ap170410-3-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-3 be an almost coKahler 3-manifold whose Reeb vector field defines a harmonic map. We prove that if the Cotton tensor of M-3 vanishes, then M-3 is locally isometric to the product R x N-2(c), where N-2(c) denotes a Kahler surface of constant curvature c. We construct some examples illustrating our main results.

引用

页码：135 / 148

页数：14

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