Biharmonic and biconservative hypersurfaces in space forms
Differential Geometry
2021-02-02 v2
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.
Keywords
Cite
@article{arxiv.2012.12476,
title = {Biharmonic and biconservative hypersurfaces in space forms},
author = {Dorel Fetcu and Cezar Oniciuc},
journal= {arXiv preprint arXiv:2012.12476},
year = {2021}
}
Comments
24 pages; Minor changes; Theorem 4.30 has been improved