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

Autori
Jurkin, Ema ; Kovačević, Nikolina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstracts - Conference on Geometry - Theory and Applications, Vorau 2011 / - , 2011

Skup
Conference on Geometry - Theory and Applications

Mjesto i datum
Vorau, Austrija, 20.06.2011. - 24.06.2011

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

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

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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA