Simple closed geodesics on regular tetrahedra in Lobachevsky space

DOI10.1070/SM9212zbMath1453.51005arXiv1903.10777MaRDI QIDQ3304394

Dar'Ya D. Sukhorebska, Alexander A. Borisenko

Publication date: 31 July 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10777

zbMATH Keywords

regular tetrahedronclosed geodesicsLobachevsky space

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Geodesics in global differential geometry (53C22) Convex sets in (3) dimensions (including convex surfaces) (52A15) Non-Euclidean differential geometry (53A35) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (3)

A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space ⋮ Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature ⋮ Simple closed geodesics on regular tetrahedra in spherical space

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