Smooth maps of a foliated manifold in a symplectic manifold

preprint2007arXivOpen access

Abstract

The immersions of a smooth manifold MM in a symplectic manifold (N,σ)(N,σ) inducing a given closed form ωω on MM satisfy the C0C^0-dense hh-principle in the space of all continuous maps which pull back the deRham cohomology class of σσ onto that of ωω. In this paper we prove a foliated version of this result due to Gromov.

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