A short note on -biharmonic hypersurfaces
Selcen Y. Perktaş, Bilal E. Acet, Adara M. Blaga (2020)
Commentationes Mathematicae Universitatis Carolinae
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In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .