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arXiv:2103.12577 [math.DG]AbstractReferencesReviewsResources

Remarks on biharmonic hypersurfaces in space forms

Wagner Oliveira Costa-Filho

Published 2021-03-23Version 1

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.

Categories: math.DG
Subjects: 53C43, 53C42, 53C24
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