On normal contact pairs
Differential Geometry
2009-06-20 v4 Symplectic Geometry
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.
Cite
@article{arxiv.0805.0193,
title = {On normal contact pairs},
author = {G. Bande and A. Hadjar},
journal= {arXiv preprint arXiv:0805.0193},
year = {2009}
}
Comments
To appear in International Journal of Mathematics. Added subsection 3.4 and 2 references after referee suggestions