On normal contact pairs

G. Bande; A. Hadjar

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arXiv · 0805.0193

On normal contact pairs

G. Bande·A. Hadjar

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Abstract

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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G. Bande, A. Hadjar. 2009-06-19. On normal contact pairs. https://arxiv.org/abs/0805.0193

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