Smooth maps of a foliated manifold in a symplectic manifold

Abstract

The immersions of a smooth manifold $M$ in a symplectic manifold $(N,\sigma)$ inducing a given closed form $\omega$ on $M$ satisfy the $C^0$-dense $h$-principle in the space of all continuous maps which pull back the deRham cohomology class of $\sigma$ onto that of $\omega$. In this paper we prove a foliated version of this result due to Gromov.