Rigidity results for compact biconservative hypersurfaces in space forms
Differential Geometry
2024-09-30 v1
Abstract
In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of non-negative sectional curvature with some estimates of the squared norm of the shape operator.
Cite
@article{arxiv.2409.18617,
title = {Rigidity results for compact biconservative hypersurfaces in space forms},
author = {Ştefan Andronic and Aykut Kayhan},
journal= {arXiv preprint arXiv:2409.18617},
year = {2024}
}
Comments
18 pages