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2nd Croatian Mathematical Congress
June 15-17, 2000
Croatian Mathematical Society and Dept. of Math., Univ. of Zagreb
Zagreb, Croatia

Organizers
Hrvoje Sikic (president), Pavle Pandzic (secretary)

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Isometric Invariants of Conics in Isotropic Plane. Classification of Conics.
by
Jelena Beban-Brkic
Faculty of Geodesy, University of Zagreb, Croatia

A real 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 f of A2 and a point F in f.

In this work the conditions for the canonical form of second order curve equation in an isotropic plane have been studied and all the exceptions have been discussed. The conic classification according to their invariants is made with regard to the group of motions on I2. In this way 20 types of conics have been obtained.

Date received: April 26, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caex-66.