English

Ricci flows with unbounded curvature

Differential Geometry 2014-09-01 v1 Analysis of PDEs

Abstract

Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case. This article surveys some of the theory from the past few years that has sought to rectify the situation in different ways.

Keywords

Cite

@article{arxiv.1408.6866,
  title  = {Ricci flows with unbounded curvature},
  author = {Peter M. Topping},
  journal= {arXiv preprint arXiv:1408.6866},
  year   = {2014}
}

Comments

appears in Proceedings of the International Congress of Mathematicians, Seoul 2014

R2 v1 2026-06-22T05:43:26.266Z