24 citations · 26 across the 2 of their papers we have counts for
3 papers
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…
math.DG2013★ 24 cited
Simplicial Ricci Flow
Warner A. Miller, Jonathan R. McDonald, Paul M. Alsing +2
We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the…
math.DG2012★ 2 cited
Metric Ricci curvature for manifolds
Emil Saucan
We introduce a metric notion of Ricci curvature for manifolds and study its convergence properties. We also prove a fitting version of the Bonnet-Myers Theorem, for surfaces a…