Abstract
Let X be an n -dimensional Alexandrov space of curvature bounded from below. We define the notion of singular point in X, and prove that the set Sχ of singular points in X is of Hausdorff dimension ≤ n - 1 and that X - Sx has a natural C°-Riemannian structure.
| Original language | English |
|---|---|
| Pages (from-to) | 629-658 |
| Number of pages | 30 |
| Journal | Journal of Differential Geometry |
| Volume | 39 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 1994 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology
Fingerprint
Dive into the research topics of 'The Riemannian structure of Alexandrov spaces'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS