Critical behavior in Ricci flow

Details Critical behavior in Ricci flow Critical behavior in Ricci flow

2003-06-07

arxiv.org/abs/math/0306129v1

Mathematics

Differential Geometry

17 pages, 10 figures

Scientific paper

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.

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