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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…
math.DG2002★ 2 cited
The time-dependent maximum principle for systems of parabolic equations subject to an avoidance set
Bennett Chow, Peng Lu
In this paper we prove two extensions of Hamilton's maximal principle for systems pf parabolic equations which sould be useful for the study of the Ricci flow and some other geomet…
math.DG2002
On the asymptotic scalar curvature ratio of complete Type I-like ancient solutions to the Ricci flow on non-compact 3-manifolds
Bennett Chow, Peng Lu
The main result of this paper is: Given any constant C, there is such that if a complete, orientable, noncompact odd-dimensional manifold with bounded positive sectional…