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Abstract
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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|
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