Naslov
Classification of Quadrics in Double Isotropic Space

Autori
Beban-Brkić, Jelena

Izvornik
Mathematical Communications (1331-0623) 8 (2003); 101-127

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

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

Sažetak
This paper gives the classification of second order surfaces in double isotropic space (I_3)^(2)Although quadrics in (I_3)^(2) have been investigated earlier [e.g. 8 or 9], this paper offers a new method based on Linear Algebra. The definition of invariants of a quadric with respect to the group of motions in (I_3)^(2) makes it possible to determine the type of a quadric without reducing its equation to canonical form. For that purpose isometric properties of conics in the isotropic plane and affine properties of quadrics are used.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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