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.
Citation:
A. A. Borisenko, “A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space”, Sb. Math., 213:2 (2022), 161–172
\Bibitem{Bor22}
\by A.~A.~Borisenko
\paper A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space
\jour Sb. Math.
\yr 2022
\vol 213
\issue 2
\pages 161--172
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Linking options:
https://www.mathnet.ru/eng/sm9576
https://doi.org/10.1070/SM9576
https://www.mathnet.ru/eng/sm/v213/i2/p37
This publication is cited in the following 2 articles:
A. Borisenko, V. Miquel, “Geodesic loops on tetrahedra in spaces of constant sectional curvature”, Acta Math. Hungar., 2024
Darya Sukhorebska, “Simple closed geodesics on regular tetrahedra in spaces of constant curvature”, Z. mat. fiz. anal. geom., 18:4 (2022), 562
Citation in format AMSBIB
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