A contact geometric proof of the Whitney-Graustein theorem (Q2272252)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A contact geometric proof of the Whitney-Graustein theorem |
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A contact geometric proof of the Whitney-Graustein theorem (English)
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10 August 2009
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The Whitney-Graustein theorem states that regular closed curves in the \(2\)-plane are classified, up to regular homotopy, by their rotation number. The authors give a simple proof of this theorem based on contact geometry.
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regular closed curves
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rotation number
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