On the measurability of sets of pairs of straight lines in the simply isotropic space
Volume 69 / 2005
Banach Center Publications 69 (2005), 243-256
MSC: Primary 53C65.
DOI: 10.4064/bc69-0-19
Abstract
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.
