THREE-DIMENSIONAL ALMOST KENMOTSU MANIFOLDS WITH η-PARALLEL RICCI TENSOR

被引：11

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：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

基金：

中国国家自然科学基金;

关键词：

3-dimensional almost Kenmotsu manifold; eta-parallel parallel Ricci tensor; non-unimodular Lie group; CONTACT; 3-MANIFOLDS; LOCAL SYMMETRY;

D O I：

10.4134/JKMS.j160252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the Ricci tensor of a three-dimensional almost Kenmotsu manifold satisfying. del(xi)h = 0, h not equal 0, is eta-parallel if and only if the manifold is locally isometric to either the Riemannian product H-2(-4) x R or a non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure.

引用

页码：793 / 805

页数：13

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