2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67727We 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 figuresDifferential GeometryGeneral Relativity and Quantum CosmologyCritical behavior in Ricci flowtext