Mathematics – Differential Geometry
Scientific paper
2000-11-08
Mathematics
Differential Geometry
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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