Locally Collapsed 3-Manifolds

Details Locally Collapsed 3-Manifolds Locally Collapsed 3-Manifolds

2010-05-27

arxiv.org/abs/1005.5106v2

Mathematics

Differential Geometry

Typos corrected, and added figures

Scientific paper

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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