Bi-Lipschitz equivalent Alexandrov surfaces, I

A. Belenkiy; Yu. Burago

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arXiv · math/0409340

Bi-Lipschitz equivalent Alexandrov surfaces, I

A. Belenkiy·Yu. Burago

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Abstract

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 homeomorphic one to the other. Also conditions under that two ends having finite integral negative curvature are bi-Lipschitz equivalent are considered. In the second paper it is shown that a bi-Lipschitz constant can be estimated depending on several geometric characteristics.

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A. Belenkiy, Yu. Burago. 2004-09-20. Bi-Lipschitz equivalent Alexandrov surfaces, I. https://arxiv.org/abs/math/0409340

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