Original scientific paper
Classification of quadrics in a double isotropic space
J. Beban-Brkić
Abstract
This paper gives the classification of second order surfaces in a 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 a canonical form. For that purpose isometric properties of conics in the isotropic plane and affine properties of quadrics are used.
Keywords
quadrics; plane isotropic geometry; geometry of the double isotropic space
Hrčak ID:
765
URI
Publication date:
20.6.2003.
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