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

1Borisenko, AA
1Sukhorebska, DD
1B. Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine, Kharkiv
Dopov. Nac. akad. nauk Ukr. 2019, 4:3-9
https://doi.org/10.15407/dopovidi2019.04.003
Section: Mathematics
Language: Russian
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.

Keywords: closed geodesics, Lobachevsky space, regular tetrahedra
References: 

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