Ricci Flow Emerging from Rotationally Symmetric Degenerate Neckpinches
Differential Geometry
2016-02-09 v2 Analysis of PDEs
Abstract
In previous work, Angenent, Isenberg, and Knopf created type-II Ricci flow neckpinch singularities. In this paper we construct solutions to Ricci flow whose initial data is the singular metric resulting from these singularities. We show in particular that the curvature decreases at the same rate at which it blew up. This is the first example of Ricci flow starting from a type-II singularity.
Keywords
Cite
@article{arxiv.1411.3714,
title = {Ricci Flow Emerging from Rotationally Symmetric Degenerate Neckpinches},
author = {Timothy Carson},
journal= {arXiv preprint arXiv:1411.3714},
year = {2016}
}