A h-principle for open relations invariant under foliated isotopies

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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.
48 pages with 1 figures

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Differential Geometry, 53C23; 57R17; 53D17

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http://salesiana.dossiersoluciones.com/handle/123456789/60297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011045
 http://arxiv.org/abs/math/0011045

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arXiv