论文标题
在Clifford Tori上的正椭圆形旋转器分类
Classification of positive elliptic-elliptic rotopulsators on Clifford tori
论文作者
论文摘要
我们证明，在恒定高斯曲率的空间中，$ n $ body问题的正椭圆纤维旋转溶液在非稳定尺寸的Clifford Tori上移动在大圆圈上，或者投影到常规多边形上。我们还证明，在常规多边形上的配置项目都相等，并表明所有这些不同类型的椭圆椭圆形旋转旋转器都存在。
We prove that positive elliptic-elliptic rotopulsator solutions of the $n$-body problem in spaces of constant Gaussian curvature that move on Clifford tori of nonconstant size either lie on great circles, or project onto regular polygons. We additionally prove for the case that the configurations project onto regular polygons that all masses are equal and show that all these different types of positive elliptic-elliptic rotopulsator exist.
