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. 
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     author = {E. N. Sosov},
     title = {On the action of the multiplicative group of nonzero real numbers on the pointed {Lobachevsky} space},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {156--160},
     publisher = {mathdoc},
     volume = {154},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a13/}
}
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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/