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A h-principle for open relations invariant under foliated isotopies

Melanie Bertelson
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Abstract

This paper presents a natural extension to foliated spaces of the following result due to Gromov : the h-principle for open, invariant differential relations is valid on open manifolds. The definition of openness for foliated spaces adopted here involves a certain type of Morse functions. Consequences concerning the problem of existence of regular Poisson structures, the original motivation for this work, are presented.

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Melanie Bertelson. 2000-11-08. A h-principle for open relations invariant under foliated isotopies. https://arxiv.org/abs/math/0011045

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