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28 March 2024
 
  » arxiv » math.DG/0409343

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Bi-Lipschitz equivalent Alexandrov surfaces, II
Yu.Burago ;
Date 20 Sep 2004
Subject Differential Geometry | math.DG
AbstractThis is a continuation of the joint paper with the same title by A.Belenkiy and Yu.Burago. It is proved here that two homeomorphic closed Alexandrov surfaces (of bounded integral curvature) are bi-Lipschitz with a constant depending only on upper bounds of their Euler number, diameters, negative integral curvatures, and two positive numbers e and l such that positive curvature of each embedded disk with perimeter not greater than l is not greater than pi-e.
Source arXiv, math.DG/0409343
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