利用磁性Jacobi场比较定理估计轨道球的体积
By Applying the Comparison Theorem of Magnetic Jacobi Fields to Estimate on Volume of Trajectory-Balls
摘要: 本文运用磁性Jacobi场与轨道球的体积公式的关系，估计轨道球的体积。主要利用磁性Jacobi场比较定理从上面来估计在Kähler磁场上轨道球的体积，其思想是将磁性Jacobi场放大，从而给出轨道球的体积。
Abstract:
In this paper, we consider the relationship between magnetic Jacobi fields and the formula of trajectory-balls’s volume, which is performed to estimate for the volume of trajectory-balls. By applying mainly use the Kähler magnetic Jacobi field comparison theorem to estimate the volume of the orbital sphere on the magnetic field, the idea is to amplify the magnetic Jacobi field to give the volume of the orbital sphere.
参考文献
|
[1]
|
Adachi, T. and Bai, P. (2012) Volume of Trajectory-Balls for Kähler Magnetic Fields. Journal of Geometry, 105, 369-389. [Google Scholar] [CrossRef]
|
|
[2]
|
Shi, Q. and Adachi, T. (2016) An Estimate on Volumes of Trajectory-Balls for Kähler Magnetic Fields. Proceedings of the Japan Academy Series A: Mathematical Sciences, 92, 47-50. [Google Scholar] [CrossRef]
|
|
[3]
|
Adachi, T. (1997) A Comparison Theorem for Magnetic Jacobi Fields. Proceedings of the Edinburgh Mathematical Society, 40, 293-308. [Google Scholar] [CrossRef]
|
|
[4]
|
Adachi, T. (2011) Magnetic Jacobi Fields for Kähler Magnetic Fields. In: Recent Progress in Differential Geometry and Its Related Fields, World Scientific Publishing, Hackensack, 41-53. [Google Scholar] [CrossRef]
|