Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion

sažetak izlaganja sa skupa

sažetak izlaganja sa skupa

Circular Cubics and Quartics in Pseudo-Euclidean Plane Obtained by Inversion

Vrsta prilog sa skupa (u zborniku)
Tip sažetak izlaganja sa skupa
Godina 2011
Nadređena publikacija Abstracts - Conference on Geometry - Theory and Applications, Vorau 2011
Status objavljeno

Sažetak

The presentation is an extension of [N. Kovačević, V. Szirovicza, Inversion in Minkowskischer Geometrie. Math. Pann. 21/1 (2010), 89-113.] where the inversions in a pseudo-Euclidean plane with an equiform conic as the fundamental conic and a pole at its center or at an isotropic point have been studied. The type of circularity for the curves has also been introduced. We show that by using these transformations the cubics of all types of circularity can be constructed as images of conics. Unfortunately, the same does not hold for the quartics.

Ključne riječi

pseudo-Euclidean plane; inversion; circular curve; conic; cubic; quartic