Existence h-principle for Engel structures

Abstract

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

arXiv comment21 pages, 7 figures

Cited by in corpus (1)

• Geometry and dynamics of Engel structures