A h-principle for open relations invariant under foliated isotopies

Mathematics – Differential Geometry

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48 pages with 1 figures

Scientific paper

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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