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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 35–38 (Mi znsl1629)  
This article is cited in 1 scientific paper (total in 1 paper)

Geodesic diameter of bodies of constant width

V. A. Zalgaller

Faculty of Mathematics and Computer Science, Weizmann Institute of Science
Full-text PDF (147 kB) Citations (1)
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Abstract: The geodesic diameter $G$ of the surface of a three-dimensional body $\Phi$ of constant width $B$ is estimated via $B$ from above and from below. It is proved that $G\le\frac\pi2B$, where an equality occurs if and only if $\Phi$ is a body of revolution. Bibl. – 3 titles.
Received: 25.01.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 3, Pages 373–374
DOI: https://doi.org/10.1007/s10958-009-9561-5
Bibliographic databases:
UDC: 514.172.2+514.77
Language: Russian
Citation: V. A. Zalgaller, “Geodesic diameter of bodies of constant width”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 35–38; J. Math. Sci. (N. Y.), 161:3 (2009), 373–374
Citation in format AMSBIB
\Bibitem{Zal08}
\by V.~A.~Zalgaller
\paper Geodesic diameter of bodies of constant width
\inbook Geometry and topology. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 353
\pages 35--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1629}
\zmath{https://zbmath.org/?q=an:1187.52011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 3
\pages 373--374
\crossref{https://doi.org/10.1007/s10958-009-9561-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350669539}
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  • https://www.mathnet.ru/eng/znsl/v353/p35
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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