Pregled bibliografske jedinice broj: 299664
The Equiform Differential Geometry of Curves in pseudo-Galilean geometry
The Equiform Differential Geometry of Curves in pseudo-Galilean geometry // Conference on Geometry: Theory and Applications / Jüttler B ; Röschel O. (ur.).
Graz: TU Graz, 2007. str. 7-8 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
The Equiform Differential Geometry of Curves in pseudo-Galilean geometry
Autori
Erjavec, Zlatko ; Divjak, Blaženka
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Conference on Geometry: Theory and Applications
/ Jüttler B ; Röschel O. - Graz : TU Graz, 2007, 7-8
Skup
Conference on Geometry: Theory and Applications
Mjesto i datum
Vorau, Austrija, 03.06.2007. - 08.06.2007
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
pseudo-Galilean geometry; equiform geometry
Sažetak
In this presentation some basic notions of the equiform differential geometry of curves in the pseudo-Galilean space $G^{; ; 1}; ; _{; ; 3}; ; $ are introduced. The group of equiform transformation of the pseudo-Galilean space is obtained by requesting that similarity group of $G^{; ; 1}; ; _{; ; 3}; ; $ preserves angles between planes and lines, respectively. The basic invariants and a Frenet trihedron are described and the Frenet's formulas are derived. Furthermore, the fundamental theorem of curves in equiform geometry of $G^{; ; 1}; ; _{; ; 3}; ; $ is proved and curves of the constant equiform curvature and torsion are considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
016-0372785-0892 - Diferencijalna geometrija prostora s degeneriranim i indefinitnim metrikama (Divjak, Blaženka, MZOS ) ( CroRIS)
Ustanove:
Fakultet organizacije i informatike, Varaždin
