A compact gradient generalized quasi-Einstein metric with constant scalar curvature

被引：34
作者：
Barros, A. [1 ]
Gomes, J. N. [1 ,2 ]
机构：
[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[2] Univ Fed Amazonas, Dept Matemat, BR-69077070 Manaus, Amazonas, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 02期
关键词：
Ricci soliton; Quasi-Einstein metrics; Bakry-Emery Ricci tensor; Scalar curvature; MANIFOLDS; RICCI;
D O I：
10.1016/j.jmaa.2012.12.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we shall show that a compact gradient generalized m-quasi-Einstein metric (M-n, g, del f, lambda) with constant scalar curvature must be isometric to a standard Euclidean sphere S-n with the potential f well determined. (C)2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：702 / 705
页数：4
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