Bi-lipschitz-equivalent aleksandrov surfaces, II

Yu Burago

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish (US)
Pages (from-to)943-960
Number of pages18
JournalSt. Petersburg Mathematical Journal
Issue number6
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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