Journal of Symplectic Geometry
- J. Symplectic Geom.
- Volume 1, Number 2 (2002), 369-425.
A h-principle for open relations invariant under foliated isotopies
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.
J. Symplectic Geom., Volume 1, Number 2 (2002), 369-425.
First available in Project Euclid: 12 August 2004
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Bertelson, Mélanie. A h-principle for open relations invariant under foliated isotopies. J. Symplectic Geom. 1 (2002), no. 2, 369--425. https://projecteuclid.org/euclid.jsg/1092316654