English

A new gap for $CMC$ biharmonic hypersurfaces in Euclidean spheres

Differential Geometry 2022-02-15 v2

Abstract

In this note we improve a gap result concerning the range of the mean curvature of complete CMCCMC proper-biharmonic hypersurfaces in unit Euclidean spheres.

Keywords

Cite

@article{arxiv.2109.11197,
  title  = {A new gap for $CMC$ biharmonic hypersurfaces in Euclidean spheres},
  author = {Simona Nistor},
  journal= {arXiv preprint arXiv:2109.11197},
  year   = {2022}
}

Comments

14 pages; Theorem 2.5 has been improved