11 citations · 22 across the 9 of their papers we have counts for
12 papers · 1 filter
The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature
Bennett Chow, Richard Hamilton
We introduce a geometric evolution equation for 3-manifolds with sectional curvature of one sign which is in some sense dual to the Ricci flow. On a closed 3-manifold with negative…
A geometric approach to the linear trace Harnack inequality for the Ricci flow
Bennett Chow, Sun-Chin Chu
We give a geometric interpretation of the linear trace Harnack inequality for the Ricci flow.
A geometric interpretation of Hamilton's Harnack inequality for the Ricci flow
Bennett Chow, Sun-Chin Chu
We give a geometric interpretation of Hamilton's matrix Harnack inequality for the Ricci flow as the curvature of a connection on space-time.
A Survey of Hamilton's Program for the Ricci Flow on 3-manifolds
Bennett Chow
We give a brief survey of Hamilton's program for 3-manifolds as an approach toward Thurston's Geometrization Conjectre.
Combinatorial Ricci Flows on Surfaces
Bennett Chow, Feng Luo
We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a co…
Hamilton's injectivity radius estimate for sequences with almost nonnegative curvature operators
Bennett Chow, Dan Knopf, Peng Lu
We give a new and complete proof of Hamilton's injectivity radius estimate for sequences with bounded and almost nonnegative curvature operators, unbounded diameters, and bump-like…