Smooth maps of a foliated manifold in a symplectic manifold

Details Smooth maps of a foliated manifold in a symplectic manifold Smooth maps of a foliated manifold in a symplectic manifold

2007-06-21

arxiv.org/abs/0706.3223v1

Proceedings of the Indian Academy of Science, Mathematical Sciences v 119, 2009. Pages 333-343

Mathematics

Differential Geometry

10 pages

Scientific paper

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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