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

页码：97 / 103

页数：7

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