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arXiv · 1005.5106

Locally Collapsed 3-Manifolds

Bruce Kleiner·John Lott
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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.

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Bruce Kleiner, John Lott. 2010-05-27. Locally Collapsed 3-Manifolds. https://arxiv.org/abs/1005.5106

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