论文标题
庞加莱半平面的大地测量学：非标准推导
The geodesics for Poincaré's half-plane: a nonstandard derivation
论文作者
论文摘要
运动常数通常来自系统的对称转换组。在这里，我们显示系统的有用属性可以从一个不受任何对称性启发的Noether样转换家族中推导出来。这里的系统是对庞加莱半平面的Lagrangian解释，该属性是大地测量的形状。
Constants of motion are usually derived from groups of symmetry transformation of the system. Here we show that useful properties of the system can be deduced from a family of Noether-like transformations that are not inspired by any symmetry whatsoever. The system here is the Lagrangian interpretation of Poincaré's half plane, and the property is the shape of the geodesics.
