Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation
Volume 82 / 2008
Banach Center Publications 82 (2008), 45-53
MSC: Primary 53D20; Secondary 53C12, 14F40.
DOI: 10.4064/bc82-0-3
Abstract
We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.
