Geodesic
Convex Integration and Legendrian Approximation of Curves
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 309-317
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Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact 3-manifold can be approximated by a Legendrian curve. 
@article{JCA_2017_24_1_JCA_2017_24_1_a20,
     author = {N. Hungerb\"uhler and T. Mettler and M. Wasem},
     title = {Convex {Integration} and {Legendrian} {Approximation} of {Curves}},
     journal = {Journal of convex analysis},
     pages = {309--317},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a20/}
}
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N. Hungerbühler; T. Mettler; M. Wasem. Convex Integration and Legendrian Approximation of Curves. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 309-317. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a20/