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Isometric Invariants of Quadrics in Double Isotropic Space

This paper gives the path for classifying quadrics in double isotropic space (I_3)^(2) according to their isometric invariants. Quadric analysis is performed according to the conic k_omega in which the isotropic plane of infinity omega intersects the discussed quadric, that is to say according the position of k_omega towards the absolute {; ; F, f}; ; . For that purpose isometric properties of conics in the isotropic plane and affine properties of quadrics shall be used. Key words: isotropic plane, double isotropic space, motion group, quadric, isometric invariants

isotropic plane; double isotropic space; motion group; quadric; isometric invariants

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