The Equiform Differential Geometry of Curves in pseudo-Galilean geometry (CROSBI ID 528317)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Erjavec, Zlatko ; Divjak, Blaženka
engleski
The Equiform Differential Geometry of Curves in pseudo-Galilean geometry
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.
pseudo-Galilean geometry; equiform geometry
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Podaci o prilogu
7-8-x.
2007.
objavljeno
Podaci o matičnoj publikaciji
Conference on Geometry: Theory and Applications
Jüttler B ; Röschel O.
Graz: TU Graz
Podaci o skupu
Conference on Geometry : Theory and Applications
predavanje
03.06.2007-08.06.2007
Vorau, Austrija