Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl291
  • https://www.mathnet.ru/eng/znsl/v329/p5
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:496
    Full-text PDF :596
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024