Geodesic
On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 7-16.

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The measurable sets of pairs of intersecting non-isotropic straight lines of type $\beta $ and the corresponding densities with respect to the group of general similitudes and some its subgroups are described. Also some Crofton-type formulas are presented.
Classification : 28A75, 52A22, 53C65
Keywords: Simply isotropic space; density; measurability 
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Borisov, Adrijan Varbanov; Spirova, Margarita Georgieva. On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 7-16. http://geodesic.mathdoc.fr/item/AUPO_2009__48_1_a0/