The geometry of symplectic pairs

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

References in corpus (1)

• Stability theorems for symplectic and contact pairs

Cited by in corpus (7)

• Contact pairs and locally conformally symplectic structures
• The geometry of recursion operators
• Flat structures on surface bundles
• Local invariants of divergence-free webs
• Geometric properties of generalized symmetric spaces
• On the curvature of metric contact pairs
• Contact pair structures and associated metrics