Critical behavior in Ricci flow
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
We use numerical techniques to study the formation of singularities in Ricci flow. Comparing the Ricci flows corresponding to a one parameter family of initial geometries on S^3 with varying amounts of S^2 neck pinching, we find critical behavior at the threshold of singularity formation.
Keywords
Cite
@article{arxiv.math/0306129,
title = {Critical behavior in Ricci flow},
author = {David Garfinkle and James Isenberg},
journal= {arXiv preprint arXiv:math/0306129},
year = {2007}
}
Comments
17 pages, 10 figures