English

The Engel-Lutz twist and overtwisted Engel structures

Symplectic Geometry 2021-01-06 v2 Geometric Topology

Abstract

We introduce a modification procedure for Engel structures that is reminiscent of the Lutz twist in 3-dimensional Contact Topology. This notion allows us to define what an Engel overtwisted disc is, and to prove a complete h-principle for overtwisted Engel structures with fixed overtwisted disc.

Cite

@article{arxiv.1712.09286,
  title  = {The Engel-Lutz twist and overtwisted Engel structures},
  author = {Álvaro del Pino and Thomas Vogel},
  journal= {arXiv preprint arXiv:1712.09286},
  year   = {2021}
}

Comments

59 pages, Details added, comments welcome

R2 v1 2026-06-22T23:29:22.147Z