Geodesic
On the action of the multiplicative group of nonzero real numbers on the pointed Lobachevsky space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 156-160

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We consider the pointed Lobachevsky space $\Lambda$. In terms of the Beltrami–Klein model, we obtain an explicit expression for the action of the multiplicative group of nonzero real numbers on the space $\Lambda$. This action is analogous to that of this group on the pointed Euclidean space.
Keywords: Lobachevsky space, Beltrami–Klein model, multiplicative group of nonzero real numbers. 
E. N. Sosov. On the action of the multiplicative group of nonzero real numbers on the pointed Lobachevsky space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 156-160. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a13/
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