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Cohomologie de Dolbeault feuilletée du feuilletage complexe affine de Reeb
Published 25 Sep 2019 in math.CV, math.DG, and math.DS | (1909.11599v1)
Abstract: Let ${\cal F}$ be a complex affine Reeb foliation of dimension $1$ on the Hopf manifold ${\Bbb S}{n+1}\times {\Bbb S}1$. We prove that its foliated Dolbeault cohomology in degree $1$ is isomorphic to ${\Bbb C}$ by giving an explicit generator.
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