Remarks on Chebyshev coordinates

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

Research output: Contribution to journalArticle

3 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 languageEnglish (US)
Pages (from-to)497-501
Number of pages5
JournalJournal of Mathematical Sciences
Volume140
Issue number4
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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    Burago, Y. D., Ivanov, S. V., & Malev, S. G. (2007). Remarks on Chebyshev coordinates. Journal of Mathematical Sciences, 140(4), 497-501. https://doi.org/10.1007/s10958-007-0429-2