Existence h-principle for Engel structures
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1010072Fs00222-017-0732-6.pdf
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Author(s)
del Pino, Álvaro
Presas, Francisco
Pérez, José Luis
Casals Gutierrez, Roger
Date Issued
May 2017
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
Citation
Casals, Roger, et al. “Existence H-Principle for Engel Structures.” Inventiones Mathematicae, vol. 210, no. 2, Nov. 2017, pp. 417–51.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00222-017-0732-6
