An estimate of the spread of trajectories for Kahler magnetic fields

被引：0
|
作者：
Bai, Pengfei [1 ]
Adachi, Toshiaki [2 ]
机构：
[1] Nagoya Inst Technol, Grad Sch Engn, Div Math & Math Sci, Nagoya, Aichi 4668555, Japan
[2] Nagoya Inst Technol, Dept Math, Nagoya, Aichi 4668555, Japan
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2013年 / 42卷 / 03期
关键词：
Kahler magnetic fields; magnetic Jacobi fields; trajectory-spheres; area elements; comparison theorems; THEOREM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On a Kahler manifold we consider trajectories under the influence of Kahler 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.
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页码：445 / 462
页数：18
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