Real hypersurfaces of complex quadric in terms of star-Ricci tensor (Q2414075)

In this paper the author introduces the notion of star-Ricci tensors on the real hypersurfaces of the complex quadric $\mathcal{Q}^m$ and proves that there is no Hopf hypersurface with commuting or parallel star-Ricci tensor. He considers star-Ricci solitons on these real hypersurfaces as generalizations of star-Einstein metrics, and he shows in this case that such hypersurface is an open part of a tube around a totally geodesic complexe projective space ${\mathbb C}P^{\frac{m}{2}}$ contained in the complex quadric $\mathcal{Q}^m$ with $m \ge 4$.