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arXiv · 2103.12577

Remarks on biharmonic hypersurfaces in space forms

Wagner Oliveira Costa-Filho
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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.

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Wagner Oliveira Costa-Filho. 2021-03-23. Remarks on biharmonic hypersurfaces in space forms. https://arxiv.org/abs/2103.12577

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