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math.MG2022
Simple closed geodesics on regular tetrahedra in spaces of constant curvature
Darya Sukhorebska
In this survey results on the behavior of simple closed geodesics on regular tetrahedra in three-dimensional spaces of constant curvature are presented.
math.MG2019★ 10 cited
Simple closed geodesics on regular tetrahedra in Lobachevsky space
Alexander A. Borisenko, Darya D. Sukhorebska
We obtained a complete classification of simple closed geodesics on regular tetrahedra in Lobachevsky space. Also, we evaluated the number of simple closed geodesics of length not…
math.MG2018
Close geodesics on regular tetrahedra in hyperbolic space
A. A. Borisenko, D. D. Sukhorebska
In this paper we present a necessary conditions, that simple close geodesics on regular tetrahedra in the 3-dimensional hyperbolic space must satisfy. Furthermore, we explicitly de…