Journal of Convex Analysis 24 (2017), No. 1, 309--317
Copyright Heldermann Verlag 2017
Convex Integration and Legendrian Approximation of Curves
Norbert Hungerbühler
Dept. of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
norbert.hungerbuehler@math.ethz.ch
Thomas Mettler
Institut für Mathematik, Goethe Universität, Robert-Mayer-Str. 10, 60325 Frankfurt, Germany
mettler@math.uni-frankfurt.de
Micha Wasem
Dept. of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
micha.wasem@math.ethz.ch
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.
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