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A contact geometric proof of the Whitney-Graustein theorem

Authors
  • Geiges, Hansjörg
Type
Published Article
Publication Date
Dec 29, 2007
Submission Date
Dec 29, 2007
Source
arXiv
License
Unknown
External links

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.

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