Geodesic
Singularities of 3D vector fields preserving the Martinet form
Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 3-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the local structure of vector fields on $\mathbb{R}^3$ that preserve the Martinet $1$-form $\alpha=(1+x)dy\pm z\,dz$. We classify their singularities up to diffeomorphisms that preserve the form $\alpha$, as well as their transverse unfoldings. We are thus able to provide a fairly complete list of the bifurcations such vector fields undergo.
Mots-clés : Martinet $1$-form, bifurcations.
Keywords: singularities, vector fields 
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S. Anastassiou. Singularities of 3D vector fields preserving the Martinet form. Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_2024_220_1_a0/

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