English

A rigidity theorem on the second fundamental form for self-shrinkers

Differential Geometry 2023-12-27 v1

Abstract

In Theorem 3.1 of [12], we proved a rigidity result for self-shrinkers under the integral condition on the norm of the second fundamental form. In this paper, we relax the such bound to any finite constant (see Theorem 4.4 for details).

Keywords

Cite

@article{arxiv.1701.07945,
  title  = {A rigidity theorem on the second fundamental form for self-shrinkers},
  author = {Qi Ding},
  journal= {arXiv preprint arXiv:1701.07945},
  year   = {2023}
}

Comments

17 pages

R2 v1 2026-06-22T18:02:08.293Z