Abstract
In the Beltrami-Klein model of the Lobachevskii space, we obtain explicit expressions for the real multiplicative group actions preserving hyperbolic pencil of straight lines, and for the real additive group actions preserving parabolic pencil of straight lines.
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Russian Text © E.N. Sosov, 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 3, pp. 32–37.
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Sosov, E.N. On the Real Group Actions Preserving a Pencil of Straight Lines in the Lobachevskii Space. Russ Math. 63, 25–30 (2019). https://doi.org/10.3103/S1066369X19030034
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DOI: https://doi.org/10.3103/S1066369X19030034