On normal contact pairs

Details On normal contact pairs On normal contact pairs

2008-05-02

arxiv.org/abs/0805.0193v4

Mathematics

Differential Geometry

To appear in International Journal of Mathematics. Added subsection 3.4 and 2 references after referee suggestions

Scientific paper

We consider manifolds endowed with a contact pair structure. To such a structure are naturally associated two almost complex structures. If they are both integrable, we call the structure a normal contact pair. We generalize the Morimoto's Theorem on product of almost contact manifolds to flat bundles. We construct some examples on Boothby--Wang fibrations over contact-symplectic manifolds. In particular, these results give new methods to construct complex manifolds.

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