njemački

Beruhrbuschel von Kegelschnitten der isotropen Ebene mit konjugiert-komplexen Grundpunkten

nije evidentirano

Geometrie; Isotrope Ebene; Beruhrbuschel von Kegelschnitte

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.