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

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.

UDC: 514.753

Received: 11.01.2018
Revised: 07.03.2018
Accepted: 22.03.2018

DOI: 10.26907/0021-3446-2019-3-32-37

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:3, 25–30

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