Pregled bibliografske jedinice broj: 511851
The General Solutions of Frenet's System in the Equiform Geometry of the Galilean, Pseudo-Galilean, Simple Isotropic and Double Isotropic Space
The General Solutions of Frenet's System in the Equiform Geometry of the Galilean, Pseudo-Galilean, Simple Isotropic and Double Isotropic Space // International Mathematical Forum, 6 (2011), 17; 837-856 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 511851 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The General Solutions of Frenet's System in the Equiform Geometry of the Galilean, Pseudo-Galilean, Simple Isotropic and Double Isotropic Space
Autori
Erjavec, Zlatko ; Divjak, Blaženka ; Horvat, Damir
Izvornik
International Mathematical Forum (1312-7594) 6
(2011), 17;
837-856
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
equiform geometry; Galilean space; pseudo-Galilean space; simple isotropic space; double isotropic space; Frenet's system
Sažetak
In this paper several Cayley-Klein geometries and associated equiform geometries are described. Equiform geometry of Cayley-Klein space is obtained by requesting that similarity group of the space preserves angles between planes and lines, respectively. Further, invariants of curves in different equiform geometries are introduced. Then, the general solutions of Frenet's system in the equiform geometry of the Galilean, pseudo-Galilean, simple isotropic and double isotropic space are given. The generalizations of given solutions to the sequences of functions are considered, as well.
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
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
