Simple closed geodesics on regular tetrahedra in Lobachevsky space

Autor:	Borisenko, Alexander A., Sukhorebska, Darya D.
Rok vydání:	2019
Předmět:	Mathematics - Metric Geometry Mathematics - Differential Geometry 53C22 52B10
Druh dokumentu:	Working Paper
DOI:	10.1070/SM9212
Popis:	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 to infinity. Comment: 20 pages, 17 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.10777 Zobrazit plný text záznamu View this record from Arxiv