Yamabe and quasi-Yamabe solitons on Euclidean submanifolds

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.

8 pages

Cited by in corpus (1)

• Euclidean submanifolds with conformal canonical vector field