English

Pinching rigidity of minimal surfaces in spheres

Differential Geometry 2024-11-07 v1

Abstract

In this paper we give a pinching theorem of the Simon conjecture in the case s=3 and also give a new proof of the cases s=1 and s=2 by some Simons-type integral inequalities.

Keywords

Cite

@article{arxiv.2411.03917,
  title  = {Pinching rigidity of minimal surfaces in spheres},
  author = {Weiran Ding and Jianquan Ge and Fagui Li},
  journal= {arXiv preprint arXiv:2411.03917},
  year   = {2024}
}

Comments

23 pages, accepted by Science China Mathematics