Unique Continuation Property for Biharmonic Hypersurfaces in Spheres
Differential Geometry
2020-07-14 v1
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.
Keywords
Cite
@article{arxiv.2007.06527,
title = {Unique Continuation Property for Biharmonic Hypersurfaces in Spheres},
author = {Hiba Bibi and Eric Loubeau and Cezar Oniciuc},
journal= {arXiv preprint arXiv:2007.06527},
year = {2020}
}
Comments
18 pages