Cohomologie de Dolbeault feuilletée du feuilletage complexe affine de Reeb

Rochdi Ben Charrada, Aziz El Kacimi Alaoui

Let $\mathcal{F}$ be a complex affine Reeb foliation of dimension $1$ on the Hopf manifold ${\mathbb{S}}^{n+1}\times {\mathbb{S}}^1$. We prove that its foliated Dolbeault cohomology in degree…