Simple Closed Geodesics on Regular Spherical Polyhedra

This article provides a complete characterization of all simple closed geodesics on regular spherical octahedra and cubes. Additionally, estimates for the number of such geodesics on regular spherical tetrahedra are presented. Mathematical Subject Classification 2020: 52B05, 53C22, 52B1...

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Bibliographic Details
Date:2026
Main Author: Sukhorebska, Darya
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2026
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1127
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry