RICCI TENSORS ON THREE-DIMENSIONAL ALMOST COKAHLER MANIFOLDS

被引：25

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：

KODAI MATHEMATICAL JOURNAL | 2016年 / 39卷 / 03期

基金：

中国国家自然科学基金;

关键词：

3-dimensional almost coKahler manifolds; eta-parallel Ricci tensor; harmonic curvature tensor; Lie group; COSYMPLECTIC MANIFOLDS; KAHLER MANIFOLDS;

D O I：

10.2996/kmj/1478073764

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-3 be a three-dimensional almost coKahler manifold such that the Ricci curvature of the Reeb vector field is invariant along the Reeb vector field. In this paper, we obtain some classification results of M-3 for which the Ricci tensor is eta-parallel or the Riemannian curvature tensor is harmonic.

引用

页码：469 / 483

页数：15

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