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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 3, Pages 32–37
DOI: https://doi.org/10.26907/0021-3446-2019-3-32-37 (Mi ivm9445) 		 
On the real group actions preserving bundle of straight lines on the Lobachevskii space

E. N. Sosov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-3-32-37
Abstract: We consider the Lobachevskii space. In terms of the Beltrami–Klein model we obtain explicit expressions for the real group actions preserving hyperbolic or parabolic bundle of straight lines on the Lobachevskii space.
Keywords: Lobachevskii space, Beltrami–Klein model, bundle of straight lines.
Received: 11.01.2018
Revised: 07.03.2018
Accepted: 22.03.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 3, Pages 25–30
DOI: https://doi.org/10.3103/S1066369X19030034
Bibliographic databases:
Document Type: Article
UDC: 514.753
Language: Russian
Citation: E. N. Sosov, “On the real group actions preserving bundle of straight lines on the Lobachevskii space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 3, 32–37; Russian Math. (Iz. VUZ), 63:3 (2019), 25–30
Citation in format AMSBIB
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