论文标题
3D矢量场的奇异性保留了马丁内特的形式
Singularities of 3d vector fields preserving the form of Martinet
论文作者
论文摘要
我们在$ \ mathbb {r}^3 $上研究矢量字段的局部结构，该结构保留了Martinet $ 1 $ - form $α=（1+x）dy \ pm zdz $。我们介绍了它们的奇异性的分类，直到保存$α$的形式的差异性以及它们的横向展开。因此，我们能够提供相当完整的分叉列表。
We study the local structure of vector fields on $\mathbb{R}^3$ which preserve the Martinet $1$-form $α=(1+x)dy\pm zdz$. We present the classification of their singularities, up to diffeomorphisms preserving the form $α$, as well as their transversal unfoldings. We are thus able to provide a fairly complete list of the bifurcations such vector fields undergo.
