Long time behaviour of Ricci flow on open 3-manifolds
Differential Geometry
2014-05-22 v2
Abstract
We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact -manifold of finite volume whose universal cover has bounded geometry. As an application, we give a Ricci flow proof of Thurston's hyperbolisation theorem for -manifolds with toral boundary that generalizes Perelman's proof of the hyperbolisation conjecture in the closed case.
Keywords
Cite
@article{arxiv.1211.4103,
title = {Long time behaviour of Ricci flow on open 3-manifolds},
author = {Laurent Bessières and Gérard Besson and Sylvain Maillot},
journal= {arXiv preprint arXiv:1211.4103},
year = {2014}
}
Comments
33 pages, 1 figure. Revised version accepted for publication in Commentarii Mathematici Helvetici