The geometry of symplectic pairs
arXiv:math/0407441 · doi:10.1090/S0002-9947-05-03808-0
Abstract
We study the geometry of manifolds carrying symplectic pairs consisting of two closed 2-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the construction of Boothby and Wang we build contact-symplectic and contact pairs from symplectic pairs.
to appear in Transactions of the American Mathematical Society