Andrew D. McLeod

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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 $(M^{n}, g_{0})$ that is PIC1, or more generally satisfies a lower curvature bound $K_{IC_1…

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…