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June, 2002 A h-principle for open relations invariant under foliated isotopies
Mélanie Bertelson
J. Symplectic Geom. 1(2): 369-425 (June, 2002).


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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Mélanie Bertelson . "A h-principle for open relations invariant under foliated isotopies." J. Symplectic Geom. 1 (2) 369 - 425, June, 2002.


Published: June, 2002
First available in Project Euclid: 12 August 2004

zbMATH: 1036.53017
MathSciNet: MR1959586

Rights: Copyright © 2002 International Press of Boston

Vol.1 • No. 2 • June, 2002
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