Remarks on Chebyshev coordinates

Yu D. Burago; S. V. Ivanov; S. G. Malev

doi:10.1007/s10958-007-0429-2

Remarks on Chebyshev coordinates

Yu D. Burago
, S. V. Ivanov
, S. G. Malev

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

4 Scopus citations

Abstract

Some results on the existence of global Chebyshev coordinates on a Riemannian two-manifold or, more generally, on an Aleksandrov surface M are proved. For instance, if the positive and the negative part of the integral curvature of M are less than 2π, then there exist global Chebyshev coordinates on M. Such coordinates help one to construct bi-Lipschitz maps between surfaces. Bibliography: 9 titles.

Original language	English
Pages (from-to)	497-501
Number of pages	5
Journal	Journal of Mathematical Sciences
Volume	140
Issue number	4
DOIs	https://doi.org/10.1007/s10958-007-0429-2
State	Published - Jan 2007
Externally published	Yes

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title = "Remarks on Chebyshev coordinates",

abstract = "Some results on the existence of global Chebyshev coordinates on a Riemannian two-manifold or, more generally, on an Aleksandrov surface M are proved. For instance, if the positive and the negative part of the integral curvature of M are less than 2π, then there exist global Chebyshev coordinates on M. Such coordinates help one to construct bi-Lipschitz maps between surfaces. Bibliography: 9 titles.",

author = "Burago, \{Yu D.\} and Ivanov, \{S. V.\} and Malev, \{S. G.\}",

note = "Funding Information: The first two authors were partially supported by grants RFBR 05-01-00939 and NS-1914.2003.1.",

year = "2007",

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Remarks on Chebyshev coordinates

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