Finite type $\xi$-asymptotic lines of plane fields in $\mathbb{R}^3$
Differential Geometry
2019-08-12 v1 Dynamical Systems
Abstract
We prove that a finite type curve is an -asymptotic line (without parabolic points) of a suitable plane field. It is also given an explicit example of a hyperbolic closed finite type -asymptotic line. These results obtained here are generalizations, for plane fields, of the results of V. Arnold [4].
Keywords
Cite
@article{arxiv.1908.03253,
title = {Finite type $\xi$-asymptotic lines of plane fields in $\mathbb{R}^3$},
author = {Douglas H. da Cruz and Ronaldo A. Garcia},
journal= {arXiv preprint arXiv:1908.03253},
year = {2019}
}
Comments
13 pages, 4 figures