English

A note on starshaped hypersurfaces with almost constant mean curvature in space forms

Differential Geometry 2022-07-12 v1

Abstract

We show that closed starshaped hypersurfaces of space forms with almost constant mean curvature or almost constant higher order mean curvature are closed to geodesic spheres.

Keywords

Cite

@article{arxiv.2207.04509,
  title  = {A note on starshaped hypersurfaces with almost constant mean curvature in space forms},
  author = {Julien Roth and Abhitosh Upadhyay},
  journal= {arXiv preprint arXiv:2207.04509},
  year   = {2022}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:2206.06727