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arxiv: 1507.05342 · v2 · pith:SS7F3JFOnew · submitted 2015-07-19 · 🧮 math.SG

Existence h-principle for Engel structures

classification 🧮 math.SG
keywords engelstructuresfullspacearticlebundleconstructexistence
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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.

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