A classification of simple closed geodesics on regular tetrahedra in the Lobachevsky space

TitleA classification of simple closed geodesics on regular tetrahedra in the Lobachevsky space
Publication TypeJournal Article
Year of Publication2019
AuthorsBorisenko, AA, Sukhorebska, DD
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2019.04.003
Issue4
SectionMathematics
Pagination3-9
Date Published04/2019
LanguageRussian
Abstract

The full classification of simple closed geodesics on regular tetrahedra in the hyperbolic space is described. The asymptotics of the number of simple closed geodesics of length not more than L, with L tending to infinity, is found.
Keywordsclosed geodesics, Lobachevsky space, regular tetrahedra
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