Classification of almost Yamabe solitons in Euclidean spaces

被引：22
|
作者：
Seko, Tatsuya [1 ]
Maeta, Shun [1 ]
机构：
[1] Shimane Univ, Dept Math, Nishikawatsu 1060, Matsue, Shimane 6908504, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 136卷
基金：
日本学术振兴会;
关键词：
Yamabe solitons; Almost Yamabe solitons; Yamabe flow; Ricci solitons; Concurrent vector fields; Hessian manifolds; RICCI SOLITONS; REAL HYPERSURFACES;
D O I：
10.1016/j.geomphys.2018.10.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons on submanifolds in Riemannian manifolds equipped with a concurrent vector field are also presented. Moreover, we classify complete Ricci solitons on minimal submanifolds in non-positively curved space forms. For almost Yamabe solitons, all of the results in this paper can be applied to Yamabe solitons. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：97 / 103
页数：7
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