Long-time behavior of 3-dimensional Ricci flow B: Evolution of the minimal area of simplicial complexes under Ricci flow

摘要

In this second part of a series of papers on the long-time behavior of Ricci flows with surgery, we establish a bound on the evolution of the infimal area of simplicial complexes inside a 3-manifold under the Ricci flow. This estimate generalizes an area estimate of Hamilton, which we will recall in the first part of the paper.