Classification of almost Yamabe solitons in Euclidean spaces
Differential Geometry
2017-11-15 v1
Abstract
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 results in this paper can be applied to Yamabe solitons.
Keywords
Cite
@article{arxiv.1711.04428,
title = {Classification of almost Yamabe solitons in Euclidean spaces},
author = {Tatsuya Seko and Shun Maeta},
journal= {arXiv preprint arXiv:1711.04428},
year = {2017}
}