Publication details
Motion of Charged Particles and Homogeneous Geodesics in Kähler C-Spaces with Two Isotropy Summands
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Tokyo Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| web | https://projecteuclid.org/journals/tokyo-journal-of-mathematics/volume-32/issue-2/Motion-of-Charged-Particles-and-Homogeneous-Geodesics-in-K%C3%A4hler-C/10.3836/tjm/1264170245.full |
| Keywords | Charged particle; Homogeneous space; Kähler C-space; Isotropy representation |
| Description | Let (M = G/K, g,J) be a Kähler C-space with two isotropy summands. We classify all such spaces. Thus, by using previous work of O. Ikawa, we obtain a large class of examples where the differential equation ?x˙x˙ = kJx˙ of the motion of a charged particle under the electromagnetic field kJ can be explicitly solved. In particular, geodesics curves in these spaces can also be described. |