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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 329, Pages 5–13 (Mi znsl291)  
This article is cited in 7 scientific papers (total in 7 papers)

Remarks on Chebyshev coordinates

Yu. D. Buragoa, S. V. Ivanova, S. G. Malevb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (170 kB) Citations (7)
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Abstract: Some results on the existence of global Chebyshev coordinates on complete Riemannian manifolds or, more generally, on Aleksandrov surfaces are proved. For instance, if both the positive part and the negative part of the integral curvature are less than $2\pi$, then there exist global Chebyshev coordinates on $M$. Such coordinates help one to get bi-Lipschitz maps between surfaces.
Received: 20.12.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 4, Pages 497–501
DOI: https://doi.org/10.1007/s10958-007-0429-2
Bibliographic databases:
UDC: 514
Language: Russian
Citation: Yu. D. Burago, S. V. Ivanov, S. G. Malev, “Remarks on Chebyshev coordinates”, Geometry and topology. Part 9, Zap. Nauchn. Sem. POMI, 329, POMI, St. Petersburg, 2005, 5–13; J. Math. Sci. (N. Y.), 140:4 (2007), 497–501
Citation in format AMSBIB
\Bibitem{BurIvaMal05}
\by Yu.~D.~Burago, S.~V.~Ivanov, S.~G.~Malev
\paper Remarks on Chebyshev coordinates
\inbook Geometry and topology. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 329
\pages 5--13
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl291}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2215327}
\zmath{https://zbmath.org/?q=an:1151.53349}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 4
\pages 497--501
\crossref{https://doi.org/10.1007/s10958-007-0429-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845792099}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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