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Sbornik: Mathematics, 2020, Volume 211, Issue 5, Pages 617–642
DOI: https://doi.org/10.1070/SM9212 (Mi sm9212) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Simple closed geodesics on regular tetrahedra in Lobachevsky space

A. A. Borisenkoa, D. D. Sukhorebskaab

a B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine
b V. N. Karazin Kharkiv National University, Kharkiv, Ukraine
English version PDF (721 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM9212
Abstract: All simple closed geodesics on regular tetrahedra in Lobachevsky space are described. The asymptotic behaviour is found for the number of simple closed geodesics of length $\leqslant L$, as $L$ tends to infinity.
Bibliography: 22 titles.
Keywords: closed geodesics, regular tetrahedron, Lobachevsky space.
Received: 29.12.2018 and 27.01.2020
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 5, Pages 3–30
DOI: https://doi.org/10.4213/sm9212
Bibliographic databases:
Document Type: Article
UDC: 514.132+514.774.8
MSC: 51M09, 51M20, 53A35
Language: English
Original paper language: Russian
Citation: A. A. Borisenko, D. D. Sukhorebska, “Simple closed geodesics on regular tetrahedra in Lobachevsky space”, Mat. Sb., 211:5 (2020), 3–30; Sb. Math., 211:5 (2020), 617–642
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:37
    First page:18
     
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