We take sectors as real $2$-dimensional objects associated with trajectories for Kähler magnetic fields. As a sequel of  we make a bit more consideration on comparison theorem on mangetic Jacobi fields and study lengths of arcs for sectors.
"A comparison theorem on sectors for Kähler magnetic fields." Proc. Japan Acad. Ser. A Math. Sci. 81 (6) 110 - 114, June 2005. https://doi.org/10.3792/pjaa.81.110