Abstract
It is proved that any two homeomorphic closed Aleksandrov surfaces of bounded integral curvature are bi-Lipschitz-equivalent with constant depending only on their Euler number, upper bounds for their diameters and negative integral curvatures, and two positive numbers ε and l such that each loop of length at most l bounds a disk of positive curvature at most 2π − ε.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 943-960 |
| Number of pages | 18 |
| Journal | St. Petersburg Mathematical Journal |
| Volume | 16 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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