Biharmonic CMC Hypersurfaces in the Warped Product Space

Abstract

We find the necessary and sufficient condition for the proper biharmonic CMC hypersurfaces in the special warped product space. Furthermore, we obtain that there exists no proper biharmonic CMC compact hypersurface there.

References in corpus (1)

• Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group