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arXiv · 2409.18617

Rigidity results for compact biconservative hypersurfaces in space forms

Ştefan Andronic·Aykut Kayhan
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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.

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Ştefan Andronic, Aykut Kayhan. 2024-09-27. Rigidity results for compact biconservative hypersurfaces in space forms. https://arxiv.org/abs/2409.18617

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