Existence and classification of overtwisted contact structures in all dimensions
We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Netherlands,
2016-09-30T17:00:14Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures. National Science Foundation (U.S.) (Grant DMS-1510305) |
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