论文标题
在Kähler电位空间上的磁性测量学
Magnetic Geodesics on the Space of Kähler Potentials
论文作者
论文摘要
在这项工作中，通过一种广义Landau-hall功能的变异方法研究了Kähler电位上的磁性测量学。在此设置中计算了磁性测量方程，并给出了其与扰动的复合蒙格 - 安培方程的关系。最后，在感谢您的Kähler歧管上的曲ickähler电位的特殊情况下，考虑了磁性测量方程。
In this work, magnetic geodesics over the space of Kähler potentials are studied through a variational method for a generalized Landau-Hall functional. The magnetic geodesic equation is calculated in this setting and its relation to a perturbed complex Monge-Ampère equation is given. Lastly, the magnetic geodesic equation is considered over the special case of toric Kähler potentials over toric Kähler manifolds.
