Simple closed geodesics on regular tetrahedra in Lobachevsky space
arXiv:1903.10777 · doi:10.1070/SM9212
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 and found the asymptotic of this number as goes to infinity.
20 pages, 17 figures