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arxiv: 0706.3223 · v1 · pith:HA7BWT7Vnew · submitted 2007-06-21 · 🧮 math.DG · math.AP

Smooth maps of a foliated manifold in a symplectic manifold

classification 🧮 math.DG math.AP
keywords manifoldfoliatedmapsomegasigmasmoothsymplecticback
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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.

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