Abstract
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusing on the three-dimensional case. We also explain the basics of Seifert manifolds and Alexandrov spaces quickly and a key idea of our proof of the volume collapsing theorem.
Original language | English |
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Pages (from-to) | 471-487 |
Number of pages | 17 |
Journal | Tohoku Mathematical Journal |
Volume | 63 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 Dec 1 |
Keywords
- Alexandrov spaces
- The geometrization conjecture
- The volume collapsing theorem
ASJC Scopus subject areas
- Mathematics(all)