English

Curvature bounds via Ricci smoothing

Differential Geometry 2007-05-23 v1

Abstract

We give a proof of the fact that the upper and the lower sectional curvature bounds of a complete manifold vary at a bounded rate under the Ricci flow.

Keywords

Cite

@article{arxiv.math/0405569,
  title  = {Curvature bounds via Ricci smoothing},
  author = {Vitali Kapovitch},
  journal= {arXiv preprint arXiv:math/0405569},
  year   = {2007}
}
R2 v1 2026-07-22T17:06:03.735Z