Naslov
On Pencil of Quadrics in I_3^(2)

Autori
Beban-Brkić, Jelka

Izvornik
Matematičke znanosti 15 (2005); 179-194

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quadrics; plane isotropic geometry; geometry of the double isotropic space; pencil of quadrics

Sažetak
The pencil of quadrics is a set of infinite number of 2nd order surfaces having common 4th order space curve. Intersecting a pencil of quadrics by a general plane we obtain a pencil of 2nd order curves. In this paper pencils of quadrics in a double isotropic space I_3^(2) are analysed whereby the pencil of surfaces is observed as the pencil associated with the pencil of second order curves (conics) belonging to isotropic absolute plane. In this process we use the classification of pencils of conics in the isotropic plane, the classification of 2nd order surfaces in I_3^(2), and the projective properties of the pencils of second order surfaces. In order to obtain a more complete classification, the fundamental curve of the pencil, the curve of the centres, and the focal surface of the pencil of quadrics are analysed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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