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arXiv · 1903.10777

Simple closed geodesics on regular tetrahedra in Lobachevsky space

Alexander A. Borisenko·Darya D. Sukhorebska
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Abstract

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 greater than $L$ and found the asymptotic of this number as $L$ goes to infinity.

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Alexander A. Borisenko, Darya D. Sukhorebska. 2019-03-28. Simple closed geodesics on regular tetrahedra in Lobachevsky space. https://doi.org/10.1070/sm9212

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