Locally Collapsed 3-Manifolds
Differential Geometry
2014-06-05 v3 Geometric Topology
Abstract
We prove that a 3-dimensional compact Riemannian manifold which is locally collapsed, with respect to a lower curvature bound, is a graph manifold. This theorem was stated by Perelman and was used in his proof of the geometrization conjecture.
Cite
@article{arxiv.1005.5106,
title = {Locally Collapsed 3-Manifolds},
author = {Bruce Kleiner and John Lott},
journal= {arXiv preprint arXiv:1005.5106},
year = {2014}
}
Comments
Final version