Geodesic
Generalized ${\mathcal{D}}$-Einstein Real Hypersurfaces in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$
Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 909-920

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DOI

In this paper we obtain some new characterizations of pseudo-Einstein real hypersurfaces in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$. More precisely, we prove that a real hypersurface in $\mathbb{C}P^{2}$ or $\mathbb{C}H^{2}$ with constant mean curvature is generalized ${\mathcal{D}}$-Einstein with constant coefficient if and only if it is pseudo-Einstein. We prove that a real hypersurface in $\mathbb{C}P^{2}$ with constant scalar curvature is generalized ${\mathcal{D}}$-Einstein with constant coefficient if and only if it is pseudo-Einstein.
DOI : 10.4153/S0008439520000156
Mots-clés : Real hypersurface, generalized D-Einstein, pseudo-Einstein, nonflat complex space form 
Wang, Yaning. Generalized ${\mathcal{D}}$-Einstein Real Hypersurfaces in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$. Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 909-920. doi: 10.4153/S0008439520000156
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     title = {Generalized ${\mathcal{D}}${-Einstein} {Real} {Hypersurfaces} in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$},
     journal = {Canadian mathematical bulletin},
     pages = {909--920},
     year = {2020},
     volume = {63},
     number = {4},
     doi = {10.4153/S0008439520000156},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000156/}
}
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