Existence of Ricci flows of incomplete surfaces
Analysis of PDEs
2011-09-13 v2 Differential Geometry
Abstract
We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature. We give an explicit formula for the maximal existence time, and describe the asymptotic behaviour in most cases.
Keywords
Cite
@article{arxiv.1007.3146,
title = {Existence of Ricci flows of incomplete surfaces},
author = {Gregor Giesen and Peter M. Topping},
journal= {arXiv preprint arXiv:1007.3146},
year = {2011}
}
Comments
20 pages; updated to reflect galley proof corrections