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math.GT2007★ 2 cited
Horizontal loops in Engel space
Hansjörg Geiges
A simple proof is given of the following result first observed by J. Adachi: embedded circles tangent to the standard Engel structure on Euclidean 4-space are classified, up to iso…
math.GT2007★ 1 cited
A contact geometric proof of the Whitney-Graustein theorem
Hansjörg Geiges
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 o…