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Cohomologie feuilletée du flot affine de Reeb sur la variété de Hopf Sn×S1

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Abstract

We determine explicitly the foliated cohomology H∗F(M) of the affine Reeb flow F on the Hopf manifold Sn×S1. The vector space H1F(M) contains exactly the obstructions to solve the cohomological equation X⋅f=g where f and g are C∞-functions and X is any non singular vector field defining the foliation F. The topological dual of H1F(M) is the space of distributions invariant by X.

Dates and versions

hal-03149488 , version 1 (23-08-2022)

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Aziz El Kacimi Alaoui. Cohomologie feuilletée du flot affine de Reeb sur la variété de Hopf Sn×S1. 2019. ⟨hal-03149488⟩
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