论文标题
双曲线正面及其奇异性的踏板曲线
Pedal curves of hyperbolic frontals and their singularities
论文作者
论文摘要
本文在双曲线2空间中引入了踏板状额叶的踏板曲线。我们主要研究了这些空间类额叶的双曲线踏板曲线的奇异性，用于非单一和奇异双曲线细菌。然后，我们表明，对于非单一的双曲线细菌，踏板曲线的奇异性取决于第一个双曲线传传说的曲率细菌的奇异性和踏板点的位置，而对于奇异的双曲线，它们取决于两种高音曲线弯曲菌的奇异性，也取决于踏板的位置。我们提供了几个数字的例子。
This paper introduces pedal curves of spacelike frontals in the hyperbolic 2-space. We mainly investigate the singularities of these hyperbolic pedal curves of spacelike frontals for non-singular and singular dual curve germs. We then show that for non-singular dual curve germs, the singularities of a pedal curve are dependent on the singularities of the first hyperbolic Legendrian curvature germ and the location of the pedal point, while for singular dual curve germs, they depend upon the singularities of both hyperbolic Legendrian curvature germs and also the location of the pedal point. We provide several examples with figures.
