Abstract
The purpose of this paper is to completely characterize the topology of threedimensional Riemannian manifolds with a uniform lower bound of sectional curvature which converges to a metric space of lower dimension.
| Original language | English |
|---|---|
| Pages (from-to) | 1-66 |
| Number of pages | 66 |
| Journal | Journal of Differential Geometry |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2000 Jan 1 |
Keywords
- Alexandrov spaces
- Seifert fibred spaces
- The Gromov-Hausdorff convergence
- Topology of three-manifolds
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
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Cite this
Shioya, T., & Yamaguchi, T. (2000). Collapsing three-manifolds under a lower curvature bound. Journal of Differential Geometry, 56(1), 1-66. https://doi.org/10.4310/jdg/1090347524