Naslov
Beruhrbuschel von Kegelschnitten der isotropen Ebene mit konjugiert-komplexen Grundpunkten
(Pencil of Conics with two Conjugate-imaginary Coincident Fundamental Points in the Isotropic Plane)

Autori
Szirovicza, Vlasta

Izvornik
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke, kemijske i tehničke znanosti. Matematičke znanosti (1330-0814) 470 (1995); 13-34

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

Ključne riječi
Geometrie; Isotrope Ebene; Beruhrbuschel von Kegelschnitte
(geometry; isotropic plane; pencil of conics)

Izvorni jezik
Ger

Napomena
An affine plane A2 is called an isotropic plane I2, if in A2 a metric is induced by an absolute {; ; ; f, F}; ; ; consisting of the line at infinity of A2 and a point F  f. According to K. Strubecker on I2 exists a 3-parametar group B3 of isotropic motions. In this paper we give a complete classification of pencils of conics with two conjugate-imaginary coincident fundamental points. It is shown that 3-main types and 6 subtypes of these pencils exist. We construct normal form with respect to the group B3 and give an interpretation of all geometrical invariants. Finally we give a generation of all types of pencils in a geometric way.

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