Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
The author continues his study [Bull. Nagoya Inst. Technol. 47, 161-170 (1995; see below Zbl 0861.53073)] of magnetic fields on manifolds of higher dimension. In the case of a complex hyperbolic space \(\mathbb{C} H^n(-c)\) he gives explicit expressions of trajectories and points out that the feature of trajectories changes according to the strength \(|k|\) of a Kähler magnetic field \(k\). \(B_J\) is greater or smaller than \(\sqrt{c}\). The dynamical theoretic relationship between the geodesic flow and Kähler magnetic flows is also studied.
scientific article; zbMATH DE number 880011