3 citations · 6 across the 5 of their papers we have counts for
5 papers
A note on uniformization of Riemann surfaces by Ricci flow
Xiuxiong Chen, Peng Lu, Gang Tian
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
Ricci flow on locally homogeneous closed 4-manifolds
James Isenberg, Martin Jackson, Peng Lu
We discuss the Ricci flow on homogeneous 4-manifolds. After classifying these manifolds, we note that there are families of initial metrics such that we can diagonalize them and th…
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…
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…
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…