论文标题
在支架生成分布中切线和横向结的分类
Classification of tangent and transverse knots in bracket-generating distributions
论文作者
论文摘要
考虑一个大于3的歧管，配备有括号的分布。在本文中，我们证明了嵌入的常规水平曲线和嵌入式横向曲线的完整H原理。这些结果与三维接触案例形成鲜明对比，其中横向/legendrian结的完整H原则不得。 我们还证明了沉浸式的类似陈述，没有关于环境维度的假设。
Consider a manifold, of dimension greater than 3, equipped with a bracket-generating distribution. In this article we prove complete h-principles for embedded regular horizontal curves and for embedded transverse curves. These results contrast with the 3-dimensional contact case, where the full h-principle for transverse/legendrian knots is known not to hold. We also prove analogous statements for immersions, with no assumptions on the ambient dimension.
