English

The sharp diameter bound of stable minimal surfaces

Differential Geometry 2025-05-27 v3 Metric Geometry

Abstract

For three dimensional complete Riemannian manifolds with scalar curvature no less than one, we obtain the sharp upper bound of complete stable minimal surfaces' diameter.

Keywords

Cite

@article{arxiv.2411.18928,
  title  = {The sharp diameter bound of stable minimal surfaces},
  author = {Qixuan Hu and Guoyi Xu and Shuai Zhang},
  journal= {arXiv preprint arXiv:2411.18928},
  year   = {2025}
}

Comments

to appear in J. Geom. Anal

R2 v1 2026-06-28T20:15:32.973Z