Biharmonic and biconservative hypersurfaces in space forms
arXiv:2012.12476
Abstract
We present some general properties of biharmonic and biconservative submanifolds and then survey recent results on such hypersurfaces in space forms. We also propose an alternative version for a well-known result of Nomizu and Smyth for hypersurfaces by replacing the CMC hypothesis with the more general condition of biconservativity.
24 pages; Minor changes; Theorem 4.30 has been improved