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Critical behavior in Ricci flow

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arxiv math/0306129 v1 pith:FIWXHHQK submitted 2003-06-07 math.DG gr-qc

Critical behavior in Ricci flow

classification math.DG gr-qc
keywords riccibehaviorcriticalflowformationamountscomparingcorresponding
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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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