Existence h-principle for Engel structures
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.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg,
2018-06-21T17:11:22Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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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