Existence h-principle for Engel structures
Publication date
2017-11
Authors
Casals, R.
Pérez, J.L.
del Pino, Alvaro
Presas, F.
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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.
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Casals, R, Pérez, J L, del Pino, Á & Presas, F 2017, 'Existence h-principle for Engel structures', Inventiones Mathematicae, vol. 210, pp. 417–451. https://doi.org/10.1007/s00222-017-0732-6