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The geometry of symplectic pairs

G. Bande, D. Kotschick

math.SGarXiv:math/0407441

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.

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