Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature

Author:

Sukhorebska Darya,

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

Subject

Geometry and Topology,Mathematical Physics,Analysis

Reference51 articles.

1. A. Akopyan and A. Petrunin, Long geodesics on convex surfaces, Math. Intelligencer 40 (2018), 26--31. https://doi.org/10.1007/s00283-018-9795-5

2. A.D. Alexandrov, Convex Polyhedra, Gosudarstv. Izdat. Tekhn.-Teor. Lit., Moscow-Leningrad, 1950 (Russian); Engl. transl.: Springer Berlin, Heidelberg, 2005.

3. A.D. Alexandrov, Intrinsic Geometry of Convex Surfaces, Gosudarstv. Izdat. Tekhn.-Teor. Lit., Moscow-Leningrad, 1948 (Russian); Engl. transl.: Chapman and Hall/CRC, NY, 2005.

4. W. Ballmann, Der Satz von Lusternik und Schnirelmann, Beiträge zur Differentialgeometrie, Heft 1, Bonner Math. Schriften, 102, Universität Bonn, Bonn, 1978, 1--25 (German).

5. V. Bangert, On the existence of closed geodesics on two-spheres, Internat. J. Math. 4 (1993), No. 1, 1--10. https://doi.org/10.1142/S0129167X93000029

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