Bi-lipschitz-equivalent aleksandrov surfaces, II

Yu Burago

doi:10.1090/S1061-0022-05-00885-X

Bi-lipschitz-equivalent aleksandrov surfaces, II

Yu Burago

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is proved that any two homeomorphic closed Aleksandrov surfaces of bounded integral curvature are bi-Lipschitz-equivalent with constant depending only on their Euler number, upper bounds for their diameters and negative integral curvatures, and two positive numbers ε and l such that each loop of length at most l bounds a disk of positive curvature at most 2π − ε.

Original language	English (US)
Pages (from-to)	943-960
Number of pages	18
Journal	St. Petersburg Mathematical Journal
Volume	16
Issue number	6
DOIs	https://doi.org/10.1090/S1061-0022-05-00885-X
State	Published - 2005

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1090/S1061-0022-05-00885-X

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title = "Bi-lipschitz-equivalent aleksandrov surfaces, II",

abstract = "It is proved that any two homeomorphic closed Aleksandrov surfaces of bounded integral curvature are bi-Lipschitz-equivalent with constant depending only on their Euler number, upper bounds for their diameters and negative integral curvatures, and two positive numbers ε and l such that each loop of length at most l bounds a disk of positive curvature at most 2π − ε.",

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year = "2005",

doi = "10.1090/S1061-0022-05-00885-X",

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AB - It is proved that any two homeomorphic closed Aleksandrov surfaces of bounded integral curvature are bi-Lipschitz-equivalent with constant depending only on their Euler number, upper bounds for their diameters and negative integral curvatures, and two positive numbers ε and l such that each loop of length at most l bounds a disk of positive curvature at most 2π − ε.

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ER -

Bi-lipschitz-equivalent aleksandrov surfaces, II

Abstract

All Science Journal Classification (ASJC) codes

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