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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 5–13 (Mi znsl1626)  
A lower bound for the distortion of a knotted curve

T. Bereznyaka, P. V. Svetlovb

a Saint-Petersburg State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: We prove that the distortion of any knotted curve in $\mathbb R^3$ is greater than 4.76. This improves the result by John M. Sullivan and Elizabeth Denne. Bibl. – 3 titles.
Received: 18.12.2006
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 3, Pages 355–360
DOI: https://doi.org/10.1007/s10958-009-9575-z
Bibliographic databases:
UDC: 515.162.8
Language: English
Citation: T. Bereznyak, P. V. Svetlov, “A lower bound for the distortion of a knotted curve”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 5–13; J. Math. Sci. (N. Y.), 161:3 (2009), 355–360
Citation in format AMSBIB
\Bibitem{BerSve08}
\by T.~Bereznyak, P.~V.~Svetlov
\paper A lower bound for the distortion of a~knotted curve
\inbook Geometry and topology. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 353
\pages 5--13
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1626}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 3
\pages 355--360
\crossref{https://doi.org/10.1007/s10958-009-9575-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350668458}
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