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Sbornik: Mathematics, 2011, Volume 202, Issue 1, Pages 135–153
DOI: https://doi.org/10.1070/SM2011v202n01ABEH004141 (Mi sm7662) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Closed locally minimal nets on tetrahedra

N. P. Strelkova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (563 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM2011v202n01ABEH004141
Abstract: Closed locally minimal networks are in a sense a generalization of closed geodesics. A complete classification is known of closed locally minimal networks on regular (and generally any equihedral) tetrahedra. In the present paper certain necessary and certain sufficient conditions are given for at least one closed locally minimal network to exist on a given non-equihedral tetrahedron.
Bibliography: 6 titles.
Keywords: minimal network, non-equihedral tetrahedron.
Received: 07.12.2009
Bibliographic databases:
Document Type: Article
UDC: 514.113.5+514.774.8
MSC: Primary 52B05; Secondary 05C35, 51M16
Language: English
Original paper language: Russian
Citation: N. P. Strelkova, “Closed locally minimal nets on tetrahedra”, Sb. Math., 202:1 (2011), 135–153
Citation in format AMSBIB
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\paper Closed locally minimal nets on tetrahedra
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\pages 135--153
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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