Remarks on biharmonic hypersurfaces in space forms
Differential Geometry
2021-03-24 v1
Abstract
We consider closed biharmonic hypersurfaces in the Euclidean sphere and prove a rigidity result under a suitable condition on the scalar curvature. Moreover, we establish an integral formula involving the position vector for biharmonic hypersurfaces in space forms.
Keywords
Cite
@article{arxiv.2103.12577,
title = {Remarks on biharmonic hypersurfaces in space forms},
author = {Wagner Oliveira Costa-Filho},
journal= {arXiv preprint arXiv:2103.12577},
year = {2021}
}