Geodesic
On Laguerre transformations in three-dimensional
Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 24 (2003), pp. 187-194 
K. P. Shustova. On Laguerre transformations in three-dimensional. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 24 (2003), pp. 187-194. http://geodesic.mathdoc.fr/item/KUTGS_2003_24_a17/
@article{KUTGS_2003_24_a17,
     author = {K. P. Shustova},
     title = {On {Laguerre} transformations in three-dimensional},
     journal = {Trudy Geometricheskogo Seminara},
     pages = {187--194},
     year = {2003},
     volume = {24},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/KUTGS_2003_24_a17/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the present paper we construct a 10-dimensional group which induces the Laguerre transformations of planes in the three-dimensional pseudo- Euclidean space ${}^1E_3$, and find action of this group on the tangent bundle of complex projective line, on the 4-dimensional pseudo-Euclidean space, and on the manifold of horospheres of the ideal area of three-dimensional Lobachevskii space.