English

Simons' equation and minimal hypersurfaces in space forms

Differential Geometry 2017-02-10 v1

Abstract

In this paper, we show that the catenoids and the Clifford minimal hypersurfaces are the only complete minimal hypersurfaces satisfying the Simons' equation (3.9) in the space forms.

Keywords

Cite

@article{arxiv.1702.02608,
  title  = {Simons' equation and minimal hypersurfaces in space forms},
  author = {Biao Wang},
  journal= {arXiv preprint arXiv:1702.02608},
  year   = {2017}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-22T18:13:15.161Z