Geodesic
A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space
Sbornik. Mathematics, Tome 213 (2022) no. 2, pp. 161-172

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2022_213_2_a1,
     author = {A. A. Borisenko},
     title = {A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space},
     journal = {Sbornik. Mathematics},
     pages = {161--172},
     publisher = {mathdoc},
     volume = {213},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_2_a1/}
}
TY  - JOUR
AU  - A. A. Borisenko
TI  - A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space
JO  - Sbornik. Mathematics
PY  - 2022
SP  - 161
EP  - 172
VL  - 213
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2022_213_2_a1/
LA  - en
ID  - SM_2022_213_2_a1
ER  - 
%0 Journal Article
%A A. A. Borisenko
%T A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space
%J Sbornik. Mathematics
%D 2022
%P 161-172
%V 213
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2022_213_2_a1/
%G en
%F SM_2022_213_2_a1
A. A. Borisenko. A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space. Sbornik. Mathematics, Tome 213 (2022) no. 2, pp. 161-172. http://geodesic.mathdoc.fr/item/SM_2022_213_2_a1/