Pregled bibliografske jedinice broj: 830143
Circular curves of the 3rd class in the quasi-hyperbolic plane
Circular curves of the 3rd class in the quasi-hyperbolic plane // CGTA, Conference on Geometry: Theory and Applications / Jüttler, Bert ; Röschel, Otto ; Schröcker, Hans-Peter (ur.).
Linz, 2015. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 830143 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Circular curves of the 3rd class in the quasi-hyperbolic plane
Autori
Halas, Helena
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
CGTA, Conference on Geometry: Theory and Applications
/ Jüttler, Bert ; Röschel, Otto ; Schröcker, Hans-Peter - Linz, 2015
Skup
Conference on Geometry - Theory and Applications
Mjesto i datum
Kefermarkt, Austrija, 08.06.2015. - 12.06.2015
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
quasi-hyperbolic plane; circular curve of 3rd class; projective mapping
Sažetak
The quasi-hyperbolic plane is one of the nine Cayley-Klein projective metrics where the metric is induced by an absolute figure F_{; ; QH}; ; ={; ; F, f_1, f_2}; ; , consisting of two real lines f_1 and f_2 incidental with the real point F. A curve of class n is circular in the quasi-hyperbolic plane if it contains at least one absolute line. In this presentation we will study the curves of the 3rd class obtained by projective mapping i.e. obtained by projectively linked pencil of curves of the 2nd class and range of points. The conditions that pencils, range and projectivity have to fullfil in order to obtain a circular curve of the 3rd class of a certain type of circularity will be determined analytically. It will be shown that the curves of 3rd class of all types (depending on their position with respect to the absolute figure) can be constructed by using these results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
