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math.DG2014★ 2 cited
Equivalence of Simplicial Ricci Flow and Hamilton's Ricci Flow for 3D Neckpinch Geometries
Warner A. Miller, Paul M. Alsing, Matthew Corne +1
Hamilton's Ricci flow (RF) equations were recently expressed in terms of the edge lengths of a d-dimensional piecewise linear (PL) simplicial geometry, for d greater than or equal…
math.DG2013
Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D
Paul M. Alsing, Warner A. Miller, Matthew Corne +4
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introdu…