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Classification of Ricci solitons on Euclidean hypersurfaces

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 نشر من قبل Bang-Yen Chen
 تاريخ النشر 2014
  مجال البحث
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A Ricci soliton $(M,g,v,lambda)$ on a Riemannian manifold $(M,g)$ is said to have concurrent potential field if its potential field $v$ is a concurrent vector field. Ricci solitons arisen from concurrent vector fields on Riemannian manifolds were studied recently in cite{CD2}. The most important concurrent vector field is the position vector field on Euclidean submanifolds. In this paper we completely classify Ricci solitons on Euclidean hypersurfaces arisen from the position vector field of the hypersurfaces.



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