A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$
Differential Geometry
2007-05-23 v1
Abstract
We obtain a lower bound for the diameter of a solution to the Ricci flow on a compact manifold with nonvanishing first real cohomology. A consequence of our result is an affirmative answer to Hamilton's conjecture that a product metric on cannot arise as a final time limit flow.
Cite
@article{arxiv.math/0211230,
title = {A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$},
author = {Tom Ilmanen and Dan Knopf},
journal= {arXiv preprint arXiv:math/0211230},
year = {2007}
}