A h-principle for open relations invariant under foliated isotopies

2000/11/08 by Melanie Bertelson, Bertelson, Melanie · 1 citation
Mathematics · #53C23 #53D17 #57R17 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C23 #msc:53D17 #msc:57R17

paper · pdf · doi:10.48550/arxiv.math/0011045

48 pages with 1 figures

arxiv created 2000/11/08 · arxiv updated 2009/11/30

Abstract

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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