A h-principle for open relations invariant under foliated isotopies
J. Symplectic Geom., Tome 1 (2002) no. 2, p. 369-425 / Harvested from Project Euclid
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.
Publié le : 2002-06-14
Classification: 
@article{1092316654,
     author = {Bertelson
, M\'elanie},
     title = {A h-principle for open relations invariant under foliated isotopies},
     journal = {J. Symplectic Geom.},
     volume = {1},
     number = {2},
     year = {2002},
     pages = { 369-425},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1092316654}
}
Bertelson
, Mélanie. A h-principle for open relations invariant under foliated isotopies. J. Symplectic Geom., Tome 1 (2002) no. 2, pp.  369-425. http://gdmltest.u-ga.fr/item/1092316654/