Loose Engel structures
Symplectic Geometry
2021-07-06 v3 Geometric Topology
Abstract
This article introduces the notion of a loose family of Engel structures and shows that two such families are Engel homotopic if and only if they are formally homotopic. This implies a complete h-principle when some auxiliary data is fixed. As a corollary, we show that Lorentz and orientable Cartan prolongations are classified up to homotopy by their formal data.
Keywords
Cite
@article{arxiv.1712.09283,
title = {Loose Engel structures},
author = {Roger Casals and Álvaro del Pino and Francisco Presas},
journal= {arXiv preprint arXiv:1712.09283},
year = {2021}
}
Comments
17 pages, 3 figures, comments welcome. Current version corresponds to published version