Existence h-principle for Engel structures

In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold 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.

Bibliographic Details
Main Authors: Pérez, José L, del Pino, Álvaro, Presas, Francisco, Pérez, José Luis, Casals Gutierrez, Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer-Verlag 2018
Online Access:http://hdl.handle.net/1721.1/115061
https://orcid.org/0000-0003-3004-6176