非球面上规则闭曲线的卷绕数
Winding numbers of regular closed curves on aspherical surfaces
摘要：
我们定义了正则闭曲线在欧氏或双曲几何曲面上的卷绕数。证明了两条正则闭曲线是正则同伦的当且仅当它们是自由同伦的且具有相同的卷绕数。
英文摘要：
We define winding numbers of regular closed curves on surfaces with a nice euclidean or hyperbolic geometry. We prove that two regular closed curves are regularly homotopic if and only if they are freely homotopic and have the same winding number.
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。
