English

Sphere Theorems with and without Smoothing

Differential Geometry 2022-06-06 v2 Metric Geometry

Abstract

We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and the non-collapsed RCD(n1,n)\mathrm{RCD}(n-1,n) spaces with mean distance close to π2\frac{\pi}{2}.

Keywords

Cite

@article{arxiv.2105.13088,
  title  = {Sphere Theorems with and without Smoothing},
  author = {Jialong Deng},
  journal= {arXiv preprint arXiv:2105.13088},
  year   = {2022}
}

Comments

Appeared in Journal of Geometry

R2 v1 2026-06-24T02:31:30.607Z