Classification of almost Yamabe solitons in Euclidean spaces

Tatsuya Seko; Shun Maeta

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arXiv · 1711.04428

Classification of almost Yamabe solitons in Euclidean spaces

Tatsuya Seko·Shun Maeta

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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.

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Tatsuya Seko, Shun Maeta. 2017-11-13. Classification of almost Yamabe solitons in Euclidean spaces. https://arxiv.org/abs/1711.04428

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