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pro vyhledávání: '"Sukhorebska, Darya"'
Autor:
Sukhorebska, Darya
In this article, we found all simple closed geodesics on regular spherical octahedra and spherical cubes. In addition, we estimate the number of simple closed geodesics on regular spherical tetrahedra.
Externí odkaz:
http://arxiv.org/abs/2408.10782
Autor:
Sukhorebska, Darya
In this survey results on the behavior of simple closed geodesics on regular tetrahedra in three-dimensional spaces of constant curvature are presented.
Comment: 41 pages, 23 figures. arXiv admin note: substantial text overlap with arXiv:2101.07
Comment: 41 pages, 23 figures. arXiv admin note: substantial text overlap with arXiv:2101.07
Externí odkaz:
http://arxiv.org/abs/2212.02240
On a regular tetrahedron in spherical space there exist the finite number of simple closed geodesics. For any pair of coprime integers $(p,q)$ it was found the numbers $\alpha_1$ and $\alpha_2$ depending on $p$, $q$ and satisfying the inequalities $\
Externí odkaz:
http://arxiv.org/abs/2101.07059
We obtained a complete classification of simple closed geodesics on regular tetrahedra in Lobachevsky space. Also, we evaluated the number of simple closed geodesics of length not greater than $L$ and found the asymptotic of this number as $L$ goes t
Externí odkaz:
http://arxiv.org/abs/1903.10777
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