Some applications of Ricci flow to 3-manifolds
Differential Geometry
2008-02-01 v1 Geometric Topology
Abstract
We decribe and announce some results (joint with G. Besson, L. Bessieres, M. Boileau and J.Porti) about the geometry and topology of 3-manifolds. Most of the article is primarily intended as an introduction for nonexperts to geometrization of 3-manifolds, Ricci flow with surgery, and the simplicial volume approach to collapsing theorems. In the last section, Ricci flow with surgery on open 3-manifolds and obstructions to positive scalar curvature are discussed.
Keywords
Cite
@article{arxiv.0801.4881,
title = {Some applications of Ricci flow to 3-manifolds},
author = {Sylvain Maillot},
journal= {arXiv preprint arXiv:0801.4881},
year = {2008}
}
Comments
29 pages