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

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.
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Preprints, Working Papers, ...
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https://hal-uphf.archives-ouvertes.fr/hal-03149488
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Submitted on : Tuesday, February 23, 2021 - 9:51:42 AM
Last modification on : Tuesday, October 19, 2021 - 6:38:17 PM

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  • HAL Id : hal-03149488, version 1
  • ARXIV : 1909.11963

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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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