论文标题
N体问题中存在部分双曲动作
Existence of partially hyperbolic motions in the N-body problem
论文作者
论文摘要
在牛顿N体问题的背景下，我们证明了具有规定的正能和任何初始无碰撞配置的部分双曲运动的存在。此外，这是各自的超临界牛顿动作的空闲时间最小化，或者是相应的雅各比·马普特图公制的地球射线。
In the context of the Newtonian N-body problem, we prove the existence of a partially hyperbolic motion with prescribed positive energy and any initial collisionless configuration. Moreover, it is a free time minimizer of the respective supercritical Newtonian action or equivalently a geodesic ray for the respective Jacobi-Maupertuis metric.
