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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 7-99 |
| Number of pages | 93 |
| Journal | Asterisque |
| Issue number | 365 |
| State | Published - 2014 |
Keywords
- Collapsing
- Geometrization
- Orbifold
- Ricci flow
ASJC Scopus subject areas
- Mathematics(all)