# Wydawnictwa / Banach Center Publications / Wszystkie tomy

## On the measurability of sets of pairs of straight lines in the simply isotropic space

### Tom 69 / 2005

Banach Center Publications 69 (2005), 243-256 MSC: Primary 53C65. DOI: 10.4064/bc69-0-19

#### Streszczenie

We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I_3^{(1)}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.

#### Autorzy

• Margarita G. SpirovaDept. of Descriptive Geometry
Univ. of Architecture,
Civil Eng. and Geodesy
1, Christo Smirnenski Blvd.
1046 Sofia, Bulgaria
e-mail
• Adrijan V. BorisovDept. of Mathematics
South-West University “Neofit Rilski”
66, Ivan Mihailov St.