Generalized quasi Yamabe gradient solitons

被引：27
|
作者：
Neto, Benedito Leandro [1 ]
de Oliveira, Hudson Pina [2 ]
机构：
[1] Univ Fed Goias, BR 364,Km 195,3800, BR-75801615 Jatai, Go, Brazil
[2] Univ Fed Mato Grosso, Campus Araguaia,Ave Valdron Varjao 6390, BR-78600000 Barra Do Garcas Mt, Mato Grosso, Brazil
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2016年 / 49卷
关键词：
Locally conformally flat; Quasi Yamabe gradient solitons; Weyl curvature tensor; EINSTEIN MANIFOLDS; WEYL TENSOR;
D O I：
10.1016/j.difgeo.2016.07.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a nontrivial complete generalized quasi Yamabe gradient soliton (M-n,g) must be a quasi Yamabe gradient soliton on each connected component of M and that a nontrivial complete locally conformally flat generalized quasi Yamabe gradient soliton has a special warped product structure. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：167 / 175
页数：9
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