On generalized m-quasi-Einstein manifolds with constant scalar curvature

被引：23
|
作者：
Hu, Zejun [1 ,2 ]
Li, Dehe [2 ]
Xu, Jing [2 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 432卷 / 02期
关键词：
Generalized m-quasi-Einstein manifold; m-quasi-Einstein manifold; Parallel Ricci tensor; Constant scalar curvature; Bakry-Emery Ricci tensor; RIEMANNIAN-MANIFOLDS; RICCI SOLITONS; GRADIENT; COMPACT; METRICS; CLASSIFICATION; EQUATIONS; RIGIDITY;
D O I：
10.1016/j.jmaa.2015.07.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study generalized m-quasi-Einstein manifolds with constant scalar curvature. First, we establish a classification of generalized m-quasi-Einstein manifolds with parallel Ricci tensor. Second, and particularly, if an m-quasi-Einstein manifold possesses constant scalar curvature then we determine the scalar curvature in explicit form and show that which values are attainable by presenting examples. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：733 / 743
页数：11
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