UDC 515.12
We investigate biharmonic Ricci soliton hypersurfaces whose potential field satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface where is a general vector field. Then we prove that there are no proper biharmonic Ricci soliton hypersurfaces in the Euclidean space provided that the potential field is either a principal vector in grad or .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.