  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 results in this paper can be applied to Yamabe solitons.
