Global Regularity of Three-Dimensional Ricci Limit Spaces

25 Sep 2018  ·  McLeod Andrew D., Topping Peter M. ·

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, and we build upon their techniques... A key step in our proof is the construction of local "pyramid Ricci flows", existing on uniform regions of spacetime, that are inspired by Hochard's partial Ricci flows. read more

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Differential Geometry Analysis of PDEs