Dan Knopf

activity

19992005

most citedA lower bound for the diameter of solutions to the Ricci flow with nonzero

H^{1} (M^{n}; R)

5 citations · 6 across the 3 of their papers we have counts for

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Showing 2002 · math.DGShow all

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math.DG2002★ 5 cited

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

Tom Ilmanen, Dan Knopf

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 affirmativ…

math.DG2002★ 1 cited

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…

A lower bound for the diameter of solutions to the Ricci flow with nonzero H1(Mn;R)

Hamilton's injectivity radius estimate for sequences with almost nonnegative curvature operators

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