مشخصات پژوهش

We investigate biharmonic Ricci soliton hypersurfaces (Mn,g,⇠,λ)whose potential field ⇠satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface Mn,where ⇠is a general vector field. Then we prove that there are no proper biharmonic Ricci soliton hypersurfaces in the Euclidean space En+1 provided that the potential field ⇠is either a principal vector in gradH?or ⇠=gradH |gradH|