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arXiv · 2007.06527

Unique Continuation Property for Biharmonic Hypersurfaces in Spheres

Hiba Bibi·Eric Loubeau·Cezar Oniciuc
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Abstract

We study properties of non-minimal biharmonic hypersurfaces of spheres. The main result is a CMC Unique Continuation Theorem for biharmonic hypersurfaces of spheres. We then deduce new rigidity theorems to support the Conjecture that biharmonic submanifolds of Euclidean spheres must be of constant mean curvature.

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Hiba Bibi, Eric Loubeau, Cezar Oniciuc. 2020-07-13. Unique Continuation Property for Biharmonic Hypersurfaces in Spheres. https://arxiv.org/abs/2007.06527

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