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Critical behavior in Ricci flow

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2003Embargo end date: 01 Jan 2003Publisher:arXivFunded by:NSF | RUI: Studies of Singulari..., NSF | On the Behavior of Soluti...

Authors: Garfinkle, David; Isenberg, James;

doi: 10.48550/arxiv.math/0306129

arXiv: http://arxiv.org/abs/math/0306129

Critical behavior in Ricci flow

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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.

17 pages, 10 figures

Related Organizations

Oakland University
United States
University of Oregon Eugene
United States

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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Funded by

NSF| RUI: Studies of Singularities, NSF| On the Behavior of Solutions of Einstein's Equations and Other Geometric Nonlinear Partial Differential Equations