Horizontal loops in Engel space

Details Horizontal loops in Engel space Horizontal loops in Engel space

2007-12-29

arxiv.org/abs/0801.0049v1

Math. Ann. 342 (2008), 291-296

Mathematics

Geometric Topology

4 pages

Scientific paper

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.

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