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Pregled bibliografske jedinice broj: 299664

The Equiform Differential Geometry of Curves in pseudo-Galilean geometry


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 (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, 3-8.06.2007

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 ) ( POIROT)

Ustanove:
Fakultet organizacije i informatike, Varaždin

Profili:

Avatar Url Blaženka Divjak (autor)

Avatar Url Zlatko Erjavec (autor)


Citiraj ovu publikaciju:

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 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Erjavec, Z. & Divjak, B. (2007) The Equiform Differential Geometry of Curves in pseudo-Galilean geometry. U: Jüttler B & Röschel O. (ur.)Conference on Geometry: Theory and Applications.
@article{article, year = {2007}, pages = {7-8}, keywords = {pseudo-Galilean geometry, equiform geometry}, title = {The Equiform Differential Geometry of Curves in pseudo-Galilean geometry}, keyword = {pseudo-Galilean geometry, equiform geometry}, publisher = {TU Graz}, publisherplace = {Vorau, Austrija} }
@article{article, year = {2007}, pages = {7-8}, keywords = {pseudo-Galilean geometry, equiform geometry}, title = {The Equiform Differential Geometry of Curves in pseudo-Galilean geometry}, keyword = {pseudo-Galilean geometry, equiform geometry}, publisher = {TU Graz}, publisherplace = {Vorau, Austrija} }




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