Almost contact 5-folds are contact

Details Almost contact 5-folds are contact Almost contact 5-folds are contact

2012-03-09

arxiv.org/abs/1203.2166v2

Mathematics

Symplectic Geometry

60 pages, 14 figures. One figure added. Section 5 rewritten (contact blow-up). Added Section with the non-coorientable case

Scientific paper

We prove that every homotopy class of an almost contact structure on a closed
5-dimensional manifold with no 2-torsion in $H^2(M,\Z)$ admits a contact
structure. If there is 2-torsion, we prove that there exists a contact
structure with the same first Chern class as the given almost contact
structure.

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