English

Existence h-principle for Engel structures

Symplectic Geometry 2015-07-23 v2

Abstract

In this article we prove that the inclusion of the space of Engel structures of a smooth 44-fold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.

Cite

@article{arxiv.1507.05342,
  title  = {Existence h-principle for Engel structures},
  author = {Roger Casals and Jose Luis Pérez and Álvaro del Pino and Francisco Presas},
  journal= {arXiv preprint arXiv:1507.05342},
  year   = {2015}
}

Comments

21 pages, 7 figures

R2 v1 2026-06-22T10:14:42.980Z