A contact geometric proof of the Whitney-Graustein theorem
Geometric Topology
2009-06-29 v1 Symplectic Geometry
Abstract
The Whitney-Graustein theorem states that regular closed curves in the 2-plane are classified, up to regular homotopy, by their rotation number. Here we give a simple proof based on contact geometry.
Keywords
Cite
@article{arxiv.0801.0046,
title = {A contact geometric proof of the Whitney-Graustein theorem},
author = {Hansjörg Geiges},
journal= {arXiv preprint arXiv:0801.0046},
year = {2009}
}
Comments
7 pages