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$\mathbb{S}^2\times \mathbb{S}^2$ and 
$\mathbb{H}^2\times \mathbb{H}^2$ with recurrent Ricci tensor
In this paper, we investigate hypersurfaces of 
$\mathbb{S}^2\times \mathbb{S}^2$ and 
$\mathbb{H}^2\times \mathbb{H}^2$ with recurrent Ricci tensor. As the main result, we prove that a hypersurface in 
$\mathbb{S}^2\times \mathbb{S}^2$ (resp. 
$\mathbb{H}^2\times \mathbb{H}^2$) with recurrent Ricci tensor is either an open part of 
$\Gamma \times \mathbb{S}^2$ (resp. 
$\Gamma \times \mathbb{H}^2$) for a curve 
$\Gamma$ in 
$\mathbb{S}^2$ (resp. 
$\mathbb{H}^2$), or a hypersurface with constant sectional curvature. The latter has been classified by H. Li, L. Vrancken, X. Wang, and Z. Yao very recently.
$S^{3}$ WITH CONSTANT SECTIONAL CURVATURE IN 
$\mathit{CP}^{n}$
