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
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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
Keywords: Simply isotropic space; density; measurability
@article{AUPO_2009_48_1_a0,
author = {Borisov, Adrijan Varbanov and Spirova, Margarita Georgieva},
title = {On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic~space},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {7--16},
year = {2009},
volume = {48},
number = {1},
mrnumber = {2641943},
zbl = {1203.53072},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a0/}
}
TY - JOUR AU - Borisov, Adrijan Varbanov AU - Spirova, Margarita Georgieva TI - On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2009 SP - 7 EP - 16 VL - 48 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a0/ LA - en ID - AUPO_2009_48_1_a0 ER -
%0 Journal Article %A Borisov, Adrijan Varbanov %A Spirova, Margarita Georgieva %T On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2009 %P 7-16 %V 48 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a0/ %G en %F AUPO_2009_48_1_a0
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/