滑板技巧和拓扑翻转
Skateboard Tricks and Topological Flips
摘要：
我们研究了滑板翻转技巧的运动，通过将它们建模为特殊正交矩阵组$SO(3)$中的连续曲线。我们表明，连续变形只有四个翻转技巧。证明依赖于分析的电梯等曲线的单位3球。我们还推导出显式公式的一些技巧和它们之间的连续变形。
英文摘要：
We study the motion of skateboard flip tricks by modeling them as continuous curves in the group $SO(3)$ of special orthogonal matrices. We show that up to continuous deformation there are only four flip tricks. The proof relies on an analysis of the lift of such curves to the unit 3-sphere. We also derive explicit formulas for a number of tricks and continuous deformations between them.
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。
