2 papers
math.MG2021
Simple closed geodesics on regular tetrahedra in spherical space
Alexander A. Borisenko, Darya D. Sukhorebska
On a regular tetrahedron in spherical space there exist the finite number of simple closed geodesics. For any pair of coprime integers it was found the numbers and $α…
math.MG2019
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…