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Sbornik: Mathematics, 2022, Volume 213, Issue 2, Pages 161–172
DOI: https://doi.org/10.1070/SM9576 (Mi sm9576) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space

A. A. Borisenko

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine
English version PDF (757 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM9576
Abstract: A necessary and sufficient condition is obtained for the existence of a simple closed geodesic of type $(p,q)$ on a regular tetrahedron in spherical space.
Bibliography: 6 titles.
Keywords: simple closed geodesics, regular tetrahedron, spherical space, Lobachevsky space.
Received: 13.03.2021 and 09.07.2021
Russian version:
Matematicheskii Sbornik, 2022, Volume 213, Number 2, Pages 37–49
DOI: https://doi.org/10.4213/sm9576
Bibliographic databases:
Document Type: Article
UDC: 514.132+514.774.8
MSC: 51M10, 52A55
Language: English
Original paper language: Russian
Citation: A. A. Borisenko, “A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space”, Mat. Sb., 213:2 (2022), 37–49; Sb. Math., 213:2 (2022), 161–172
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    English version PDF:22
    Russian version HTML:117
    References:55
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