论文标题
ode轨迹作为卡诺组的异常曲线
ODE trajectories as abnormal curves in Carnot groups
论文作者
论文摘要
我们证明，对于每一个多项式颂歌，都存在一个Carnot群，其中Ode升压到异常曲线的轨迹。证明定义了明确的结构，以确定所得异常曲线的共证。使用这种方法，我们给出了高级卡诺组中异常曲线的新示例。作为该论点的副产品，我们还证明异常曲线的串联具有异常升力。
We prove that for every polynomial ODE there exists a Carnot group where the trajectories of the ODE lift to abnormal curves. The proof defines an explicit construction to determine a covector for the resulting abnormal curves. Using this method we give new examples of abnormal curves in Carnot groups of high step. As a byproduct of the argument, we also prove that concatenations of abnormal curves have abnormal lifts.
