Simple closed geodesics on regular tetrahedra in Lobachevsky space
Sbornik. Mathematics, Tome 211 (2020) no. 5, pp. 617-642
Voir la notice de l'article provenant de la source Math-Net.Ru
All simple closed geodesics on regular tetrahedra in Lobachevsky space are described. The asymptotic behaviour is found for the number of simple closed geodesics of length $\leqslant L$, as $L$ tends to infinity.
Bibliography: 22 titles.
Keywords:
closed geodesics, regular tetrahedron, Lobachevsky space.
@article{SM_2020_211_5_a0,
author = {A. A. Borisenko and D. D. Sukhorebska},
title = {Simple closed geodesics on regular tetrahedra in {Lobachevsky} space},
journal = {Sbornik. Mathematics},
pages = {617--642},
publisher = {mathdoc},
volume = {211},
number = {5},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2020_211_5_a0/}
}
A. A. Borisenko; D. D. Sukhorebska. Simple closed geodesics on regular tetrahedra in Lobachevsky space. Sbornik. Mathematics, Tome 211 (2020) no. 5, pp. 617-642. http://geodesic.mathdoc.fr/item/SM_2020_211_5_a0/