Classification of almost Yamabe solitons in Euclidean spaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:136

Article

Seko, Tatsuya¹  Maeta, Shun¹ 

[1] Shimane Univ, Dept Math, Nishikawatsu 1060, Matsue, Shimane 6908504, Japan

关键词: Yamabe solitons;    Almost Yamabe solitons;    Yamabe flow;    Ricci solitons;    Concurrent vector fields;    Hessian manifolds;   

DOI  :  10.1016/j.geomphys.2018.10.016

来源: Elsevier

【 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.

【 授权许可】

Free