2008/05/02 by G. Bande, Bande, G., A. Hadjar +1
Mathematics · #53C12 #53C15 (Primary) #53D15 #53D35 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53C12 #msc:53C15 #msc:53D15 #msc:53D35
paper · pdf · doi:10.48550/arxiv.0805.0193
To appear in International Journal of Mathematics. Added subsection 3.4 and 2 references after referee suggestions
arxiv created 2009/06/19 · arxiv updated 2009/12/01
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.