复双曲空间中测地管道上的Sasakian磁流

The Sasakian Magnetic Flow on the Geodesic Pipelinesin the Complex Hyperbolic Space

摘要: 在复双曲空间中的测地管道上，有由结构张量诱导的Sasakian磁场。带电粒子在Sasakian磁场中运动会产生具有零结构扭转的轨道。本文研究了它们在测地管道上单位切丛上的磁流，并证明了它们是彼此光滑一致的。

Abstract: In the geodesic pipeline in the complex hyperbolic space, there is a Sasakian magnetic field induced by the structural tensor, and the charged particles move in the Sasakian magnetic field to produce an orbit with zero structural torsion. In this paper, we study their magnetic flows on the geodesic pipeline and show that they are smooth and consistent with each other.