Horizontal loops in Engel space

Abstract

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 isotopy via such embeddings, by their rotation number.

arXiv comment4 pages

References in corpus (1)

• A contact geometric proof of the Whitney-Graustein theorem

Cited by in corpus (1)

• Fundamental groups of formal Legendrian and horizontal embedding spaces