English

A Remark on Almost Umbilical Hypersurfaces

Differential Geometry 2013-05-07 v2

Abstract

In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable results for almost umbilical hypersurfaces.

Keywords

Cite

@article{arxiv.0710.5041,
  title  = {A Remark on Almost Umbilical Hypersurfaces},
  author = {Julien Roth},
  journal= {arXiv preprint arXiv:0710.5041},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-21T09:36:46.682Z