Work

Bi-Lipschitz equivalent Alexandrov surfaces, I

Year: 2004

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0409340

Authors: Belenkiy, A., Burago, Yu.

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394645394

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