Existence h-principle for Engel structures

Author(s)
Pérez, José L; del Pino, Álvaro; Presas, Francisco; Pérez, José Luis; Casals Gutierrez, Roger
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Abstract
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.
Date issued
2017-05
URI
http://hdl.handle.net/1721.1/115061
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Inventiones mathematicae
Publisher
Springer-Verlag
Citation
Casals, Roger et al. “Existence h-Principle for Engel Structures.” Inventiones Mathematicae 210, 2 (May 2017): 417–451 © 2017 Springer-Verlag Berlin Heidelberg
Version: Author's final manuscript
ISSN
0020-9910
1432-1297
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