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arXiv · 1711.02978

Yamabe and quasi-Yamabe solitons on Euclidean submanifolds

Bang-Yen Chen·Sharief Deshmukh
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Abstract

In this paper we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields. Several fundamental results of such solitons were proved. In particular, we classify such Yamabe and quasi-Yamabe solitons on Euclidean hypersurfaces.

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Bang-Yen Chen, Sharief Deshmukh. 2017-11-08. Yamabe and quasi-Yamabe solitons on Euclidean submanifolds. https://arxiv.org/abs/1711.02978

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