On the measurability of sets of pairs of straight lines in the simply isotropic space
Margarita G. Spirova ; Adrijan V. Borisov
Banach Center Publications, Tome 68 (2005), p. 243-256 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282021 
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     title = {On the measurability of sets of pairs of straight lines in the simply isotropic space},
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     year = {2005},
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Margarita G. Spirova; Adrijan V. Borisov. On the measurability of sets of pairs of straight lines in the simply isotropic space. Banach Center Publications, Tome 68 (2005) pp. 243-256. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-19/