Convex Integration and Legendrian Approximation of Curves
Differential Geometry
2017-03-29 v2 Classical Analysis and ODEs
Abstract
Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact -manifold can be approximated by a Legendrian curve.
Keywords
Cite
@article{arxiv.1507.07661,
title = {Convex Integration and Legendrian Approximation of Curves},
author = {Norbert Hungerbühler and Thomas Mettler and Micha Wasem},
journal= {arXiv preprint arXiv:1507.07661},
year = {2017}
}
Comments
Final Version, to appear in Journal of Convex Analysis, 9 pages, 1 figure