Existence h-principle for Engel structures

Existence h-principle for Engel structures

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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.

Bibliographic Details
Main Authors: del Pino, Álvaro (Author), Presas, Francisco (Author), Pérez, José Luis (Author), Casals Gutierrez, Roger (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2018-06-21T17:11:22Z.
Subjects:
Article
Online Access:Get fulltext
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520 |a 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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