测地线间的角收缩
Angle contraction between geodesics
摘要：
在这里，我们考虑一个众所周知的离散动力系统的推广所产生的反射角的二分法，构造递归之间的两条线在欧几里得平面。结果表明，当在${\mathbb R}^3$中用规则曲面代替平面，用测地线代替直线时，可以观察到类似的性质。我们的结果的分类点的表面上的椭圆，双曲或抛物线的应用程序。
英文摘要：
We consider here a generalization of a well known discrete dynamical system produced by the bisection of reflection angles that are constructed recursively between two lines in the Euclidean plane. It is shown that similar properties of such systems are observed when the plane is replaced by a regular surface in ${\mathbb R}^3$ and lines are replaced by geodesics. An application of our results to the classification of points on the surface as elliptic, hyperbolic or parabolic is also presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
