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Bi-Lipschitz equivalent Alexandrov surfaces, I | A.Belenkiy
; Yu.Burago
; | Date: |
20 Sep 2004 | Subject: | Differential Geometry MSC-class: 53C | math.DG | 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, math.DG/0409340 | Services: | Forum | Review | PDF | Favorites |
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