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arXiv · 2211.03619

Singularities of 3d vector fields preserving the form of Martinet

Stavros Anastassiou
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Abstract

We study the local structure of vector fields on $\mathbb{R}^3$ which preserve the Martinet $1$-form $\alpha=(1+x)dy\pm zdz$. We present the classification of their singularities, up to diffeomorphisms preserving the form $\alpha$, as well as their transversal unfoldings. We are thus able to provide a fairly complete list of the bifurcations such vector fields undergo.

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Stavros Anastassiou. 2022-11-07. Singularities of 3d vector fields preserving the form of Martinet. https://arxiv.org/abs/2211.03619

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