Abstract
On a real hypersurface of quatemionic projective space $QP^{m}$ we study the following condition: $\mathfrak{S}(R(X, Y)SZ)=0$ where $\mathfrak{S}$ denotes the cyclic sum, $R$, respectively $S$, the curvature tensor, respectively the Ricci tensor, of the real hypersurface and $X,Y\in \mathscr{D}$, $Z\in \mathscr{D}^{\perp}, \mathscr{D}$ and $\mathscr{D}^{\perp}$ being certain distributions on the real hypersurface. We prove that such a real hypersurface must be Einstein.
Citation
Soo Hyo Lee. Juan de Dios Perez. Young Jin Suh. "A characterization of Einstein real hypersurfaces in quaternionic projective space." Tsukuba J. Math. 22 (1) 165 - 178, June 1998. https://doi.org/10.21099/tkbjm/1496163478
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