A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$

Details A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$ A lower bound for the diameter of solutions to the Ricci flow with nonzero $H^{1}(M^{n};R)$

2002-11-14

arxiv.org/abs/math/0211230v1

Mathematics

Differential Geometry

Scientific paper

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 $(S^{1}\times S^{n-1}$ cannot arise as a final time limit flow.

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