Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds

By Bang‐Yen Chen, Sharief Deshmukh. Mediterranean Journal of Mathematics, 2017

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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.

Subfields: Applied Mathematics, Geometry and Topology

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