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arXiv 2003-06-07 0 views

Critical behavior in Ricci flow

Garfinkle, David · Isenberg, James

Original · EN

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 S³ with varying amounts of S² neck pinching, we find critical behavior at the threshold of singularity formation.

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