Smooth maps of a foliated manifold in a symplectic manifold

Mahuya Datta; Md. Rabiul Islam

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arXiv · 0706.3223

Smooth maps of a foliated manifold in a symplectic manifold

Mahuya Datta·Md. Rabiul Islam

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Abstract

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

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BibTeX RIS

Mahuya Datta, Md. Rabiul Islam. 2007-06-21. Smooth maps of a foliated manifold in a symplectic manifold. https://arxiv.org/abs/0706.3223

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