The geometry of symplectic pairs

  • Bande G
  • Kotschick D
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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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Bande, G., & Kotschick, D. (2005). The geometry of symplectic pairs. Transactions of the American Mathematical Society, 358(4), 1643–1655. https://doi.org/10.1090/s0002-9947-05-03808-0

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