Naslov
J-trajectories in Sol_0^4

Autori
Erjavec, Zlatko ; Inoguchi, Jun-ichi

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni

Skup
8th European Congres of Mathematics

Mjesto i datum
Portorož, Slovenija, 20.06.2021. - 26.06.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
magnetic curve ; J-trajectory ; solvable Lie group

Sažetak
J-trajectories are arc length parameterized curves in almost Hermitian manifold which satisfy the equation $\nabla_{;\dot{;\gamma};};\dot{;\gamma};=q J \dot{;\gamma};$. J-trajectories are 4-dim analogon of 3-dim magnetic trajectories, curves which satisfy the Lorentz equation. In this talk J-trajectories in the 4-dimensional solvable Lie group Sol_0^4 are considered. Moreover, the first and the second curvature of a non-geodesic J-trajectory in an arbitrary 4-dimensional LCK manifold whose anti Lee field has constant length are examined. In particular, the curvatures of non-geodesic J-trajectories in Sol_0^4 are characterized.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA