3 years ago

Classification of almost Yamabe solitons in Euclidean spaces

Tatsuya Seko, Shun Maeta

Publication date: Available online 14 November 2018

Source: Journal of Geometry and Physics

Author(s): Tatsuya Seko, Shun Maeta

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 the results in this paper can be applied to Yamabe solitons.

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