English

Horizontal loops in Engel space

Geometric Topology 2008-09-29 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.0801.0049,
  title  = {Horizontal loops in Engel space},
  author = {Hansjörg Geiges},
  journal= {arXiv preprint arXiv:0801.0049},
  year   = {2008}
}

Comments

4 pages

R2 v1 2026-06-21T09:58:15.478Z