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

• Autorzy: Margarita G. Spirova , Adrijan V. Borisov
• Języki publikacji: EN

Abstrakty

EN

We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I₃^{(1)}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.

Kategorie tematyczne

• 53C65: Integral geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 243-256

Daty

wydano

2005

Twórcy

autor

Margarita G. Spirova

• Dept. of Descriptive Geometry, Univ. of Architecture, Civil Eng. and Geodesy, 1, Christo Smirnenski Blvd., 1046 Sofia, Bulgaria

autor

Adrijan V. Borisov

• Dept. of Mathematics, South-West University "Neofit Rilski", 66, Ivan Mihailov St., 2700 Blagoevgrad, Bulgaria

Identyfikatory

DOI

10.4064/bc69-0-19