Pregled bibliografske jedinice broj: 1142890
On Killing magnetic curves in hyperboloid model of SL(2,R) geometry
On Killing magnetic curves in hyperboloid model of SL(2,R) geometry // Abstracts of 22nd Scientific-Professional Colloquium on Geometry and Graphics / Došlić, T. ; Jurkin, E. (ur.).
Zagreb: Hrvatsko društvo za geometriju i grafiku, 2021. str. 52-52 (poster, međunarodna recenzija, sažetak, znanstveni)
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Naslov
On Killing magnetic curves in hyperboloid model of SL(2,R) geometry
Autori
Erjavec, Zlatko ; Klemenčić, Damjan ; Laljek, Mihaela
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Abstracts of 22nd Scientific-Professional Colloquium on Geometry and Graphics
/ Došlić, T. ; Jurkin, E. - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2021, 52-52
Skup
22nd Scientific-Professional Colloquium on Geometry and Graphics
Mjesto i datum
Čiovo, Hrvatska, 05.09.2021. - 09.09.2021
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Magnetic curve ; Killing vector field ; SL(2, R) geometry
Sažetak
Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. A vector field X is a Killing vector field if the Lie derivative with respect to X of the ambient space metric g vanishes. The Killing vector field can be interpreted as an infinitesimal generator of isometry on the manifold in the sense that the flow generated by this field is a continuous isometry of the manifold. The trajectories corresponding to the Killing magnetic fields are called the Killing magnetic curves. We consider the Killing magnetic curves in hyperboloid model of SL(2, R) space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet organizacije i informatike, Varaždin
