Naslov
Killing magnetic curves in SL(2, R) geometry

Autori
Erjavec, Zlatko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Conference on Geometry: Theory and Applications 2019 - Program and Abstracts / - , 2019, 41-42

Skup
Conference on Geometry: Theory and Applications 2019

Mjesto i datum
Innsbruck, Austrija, 03.06.2019. - 07.06.2019

Vrsta sudjelovanja
Predavanje

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. In this talk we study the Killing magnetic curves in SL(2, R) space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA