Bi-Lipschitz equivalent Alexandrov surfaces, II
Differential Geometry
2007-05-23 v1
Abstract
This 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.
Keywords
Cite
@article{arxiv.math/0409343,
title = {Bi-Lipschitz equivalent Alexandrov surfaces, II},
author = {Yu. Burago},
journal= {arXiv preprint arXiv:math/0409343},
year = {2007}
}