English

The geometry of symplectic pairs

Symplectic Geometry 2007-05-23 v1 Differential Geometry Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/0407441,
  title  = {The geometry of symplectic pairs},
  author = {G. Bande and D. Kotschick},
  journal= {arXiv preprint arXiv:math/0407441},
  year   = {2007}
}

Comments

to appear in Transactions of the American Mathematical Society