Singular Ricci flows I
Differential Geometry
2018-04-11 v3
Abstract
We introduce singular Ricci flows, which are Ricci flow spacetimes subject to certain asymptotic conditions. We consider the behavior of Ricci flow with surgery starting from a fixed initial compact Riemannian 3-manifold, as the surgery parameter varies. We prove that the flow with surgery subconverges to a singular Ricci flow as the surgery parameter tends to zero. We establish a number of geometric and analytical properties of singular Ricci flows.
Cite
@article{arxiv.1408.2271,
title = {Singular Ricci flows I},
author = {Bruce Kleiner and John Lott},
journal= {arXiv preprint arXiv:1408.2271},
year = {2018}
}
Comments
Final version. 76 pages. Sections 8 and 9 of the previous version are moved to a separate paper