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math.DG2019
Pyramid Ricci Flow in Higher Dimensions
Andrew D. McLeod, Peter M. Topping
In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold that is PIC1, or more generally satisfies a lower curvature bound $K_{IC_1…
math.DG2018
Improved Pseudolocality on Large Hyperbolic Balls
Andrew D. McLeod
We obtain an improved pseudolocality result for Ricci flows on two-dimensional surfaces that are initially almost-hyperbolic on large hyperbolic balls. We prove that, at the centra…
math.DG2018
Global Regularity of Three-Dimensional Ricci Limit Spaces
Andrew D. McLeod, Peter M. Topping
We construct a global homeomorphism from any 3D Ricci limit space to a smooth manifold, that is locally bi-Holder. This extends the recent work of Miles Simon and the second author…