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math.DG2005
Remarks on Chebyshev coordinates
Yu. Burago, S. Ivanov, S. Malev
Some results on existence of global Chebyshev coordinates on a Riemannian manifold or, more generally, on Aleksandrov surface are proved. For instance, if the positive and the nega…
math.DG2004
Bi-Lipschitz equivalent Alexandrov surfaces, II
Yu. Burago
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 c…
math.DG2004
Bi-Lipschitz equivalent Alexandrov surfaces, I
A. Belenkiy, Yu. Burago
This is the first paper of two ones. Here we prove that two compact Alexandrov surfaces of bounded integral curvature having no peak points are bi-Lipschitz equivalent if they are…