English

Rate of curvature decay for the contracting cusp Ricci flow

Differential Geometry 2016-06-28 v1 Analysis of PDEs

Abstract

We prove that the Ricci flow that contracts a hyperbolic cusp has curvature decay like one over time squared. In order to do this, we prove a new Li-Yau type differential Harnack inequality for Ricci flow on surfaces.

Keywords

Cite

@article{arxiv.1606.07877,
  title  = {Rate of curvature decay for the contracting cusp Ricci flow},
  author = {Peter M. Topping and Hao Yin},
  journal= {arXiv preprint arXiv:1606.07877},
  year   = {2016}
}