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arXiv · 1803.00414

Global Regularity of Three-Dimensional Ricci Limit Spaces

Andrew D. McLeod·Peter M. Topping
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Abstract

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.

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Andrew D. McLeod, Peter M. Topping. 2018-03-01. Global Regularity of Three-Dimensional Ricci Limit Spaces. https://arxiv.org/abs/1803.00414

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