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REDUCTIONS OF LOCALLY CONFORMAL SYMPLECTIC STRUCTURES AND DE RHAM COHOMOLOGY TANGENT TO A FOLIATION.

By Wojciech Domitrz

Abstract

Let M be a smooth even-dimensional manifold, dimM = 2n> 2. Let Ω be a smooth nondegenerate 2-form on M. If there exists an open cover {Ua: a ∈ A} of M and smooth positive functions fa on Ua such that (1) Ωa = faΩ|U

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