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arXiv · 1908.03253

Finite type $\xi$-asymptotic lines of plane fields in $\mathbb{R}^3$

Douglas H. da Cruz·Ronaldo A. Garcia
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Abstract

We prove that a finite type curve is an $\xi$-asymptotic line (without parabolic points) of a suitable plane field. It is also given an explicit example of a hyperbolic closed finite type $\xi$-asymptotic line. These results obtained here are generalizations, for plane fields, of the results of V. Arnold [4].

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Douglas H. da Cruz, Ronaldo A. Garcia. 2019-08-08. Finite type $\xi$-asymptotic lines of plane fields in $\mathbb{R}^3$. https://arxiv.org/abs/1908.03253

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