Geodesic
Finite type ξ-asymptotic lines of plane fields in R^3
Journal of Singularities, Tome 22 (2020), pp. 17-27

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We prove that a finite type curve is a ξ-asymptotic line (without parabolic points) of a suitable plane field. It is also given an explicit example of a hyperbolic closed finite type ξ-asymptotic line. These results obtained here are generalizations, for plane fields, of the results of V. Arnold. 
@article{10_5427_jsing_2020_22b,
     author = {Douglas H. da Cruz and Ronaldo A. Garcia},
     title = {Finite type \ensuremath{\xi}-asymptotic lines of plane fields in {R^3}},
     journal = {Journal of Singularities},
     pages = {17--27},
     publisher = {mathdoc},
     volume = {22},
     year = {2020},
     doi = {10.5427/jsing.2020.22b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22b/}
}
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Douglas H. da Cruz; Ronaldo A. Garcia. Finite type ξ-asymptotic lines of plane fields in R^3. Journal of Singularities, Tome 22 (2020), pp. 17-27. doi: 10.5427/jsing.2020.22b

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