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The Equiform Differential Geometry of Curves in pseudo-Galilean geometry (CROSBI ID 528317)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Erjavec, Zlatko ; Divjak, Blaženka 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-x

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

Povezanost rada

Matematika