论文标题
$ h $ - 原则,用于横向支架生成分布的地图
The $h$-Principle for Maps Transverse to Bracket-Generating Distributions
论文作者
论文摘要
给定平滑的括号生成分配$ \ MATHCAL {d} $在歧管$ m $上的恒定增长,我们证明,该映射从任意的歧管$σ$到$ m $的地图,横向到$ \ Mathcal {d} $,满足完整的$ h $ principle。这部分解决了M. Gromov提出的问题。
Given a smooth bracket-generating distribution $\mathcal{D}$ of constant growth on a manifold $M$, we prove that maps from an arbitrary manifold $Σ$ to $M$, which are transverse to $\mathcal{D}$, satisfy the complete $h$-principle. This partially settles a question posed by M. Gromov.