A trajectory-harp is a variation of geodesics associated with a trajectory. We estimate how trajectories for Kähler magnetic fields go away from their initial points and show how they are bended by comparing trajectory-harps on a Kähler manifolds with those on complex space forms. Under a condition on sectional curvatures, we show that when the length of a geodesic segment of a trajectory-harp coincides with that on a complex space form it forms a part of a totally geodesic complex line.
"Comparison theorems on trajectory-harps for Kähler magnetic fields which are holomorphic at their arches." Hokkaido Math. J. 48 (2) 427 - 441, June 2019. https://doi.org/10.14492/hokmj/1562810518