Global Regularity of Three-Dimensional Ricci Limit Spaces
Differential Geometry
2018-09-26 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1803.00414,
title = {Global Regularity of Three-Dimensional Ricci Limit Spaces},
author = {Andrew D. McLeod and Peter M. Topping},
journal= {arXiv preprint arXiv:1803.00414},
year = {2018}
}
Comments
Improvements in exposition; minor corrections