English

Regularity theory for Type I Ricci flows

Differential Geometry 2017-10-31 v3 Analysis of PDEs

Abstract

We consider Type I Ricci flows and obtain integral estimates for the curvature tensor valid up to, and including, the singular time. Our estimates partially extend to higher dimensions a curvature estimate recently shown to hold in dimension three by Kleiner and Lott. To do this we adapt the technique of quantitative stratification, introduced by Cheeger and Naber, to this setting.

Keywords

Cite

@article{arxiv.1704.00198,
  title  = {Regularity theory for Type I Ricci flows},
  author = {Panagiotis Gianniotis},
  journal= {arXiv preprint arXiv:1704.00198},
  year   = {2017}
}

Comments

29 pages, minor corrections

R2 v1 2026-06-22T19:04:35.950Z