A. A. Borisenko, “A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space”, Mat. Sb., 2022, Volume 213, Number 2,Pages <nobr>37

This article is cited in 2 papers

A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space

A. A. Borisenko

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine

Abstract: A necessary and sufficient condition is obtained for the existence of a simple closed geodesic of type $(p,q)$ on a regular tetrahedron in spherical space.
Bibliography: 6 titles.

Keywords: simple closed geodesics, regular tetrahedron, spherical space, Lobachevsky space.

UDC: 514.132+514.774.8

MSC: 51M10, 52A55

Received: 13.03.2021 and 09.07.2021

DOI: 10.4213/sm9576