An estimate of the spread of trajectories for Kähler magnetic fields

Pengfei BAI, Toshiaki ADACHI
2013 Hokkaido Mathematical Journal  
On a Kähler manifold we consider trajectories under the influence of Kähler magnetic fields. They are smooth curves which are parameterized by their arclengths and whose velocities and normal vectors form complex lines. In this paper we study how trajectories spread, and give an estimate of norms of magnetic Jacobi fields from below and an estimate of area elements of trajectory-spheres.
doi:10.14492/hokmj/1384273392 fatcat:n5h5qonbondpnmocmksx6szpyq