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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 1, Pages 45–58
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000231 (Mi rcd764) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Dynamics of billiards

Convex Polyhedra without Simple Closed Geodesics

G. Galperin

Eastern Illinois University, Charleston IL 61920, USA
Citations (12)
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000231
Abstract: It is proved that, in contrast to the smooth convex surfaces homeomorphic to the two-dimensional sphere, the most of convex polyhedra in three dimensional space are free of closed geodesics without self-intersections.
Received: 05.10.2002
Bibliographic databases:
Document Type: Article
MSC: 37E99, 37E35
Language: English
Citation: G. Galperin, “Convex Polyhedra without Simple Closed Geodesics”, Regul. Chaotic Dyn., 8:1 (2003), 45–58
Citation in format AMSBIB
\Bibitem{Gal03}
\by G. Galperin
\paper Convex Polyhedra without Simple Closed Geodesics
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 1
\pages 45--58
\mathnet{http://mi.mathnet.ru/rcd764}
\crossref{https://doi.org/10.1070/RD2003v008n01ABEH000231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963967}
\zmath{https://zbmath.org/?q=an:1023.37025}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8...45G}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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