We prove that the Cayley hyperbolic plane admits no Einstein hypersurfaces and that the only Einstein hypersurfaces in the Cayley projective plane are geodesic spheres of a certain radius; this completes the classification of Einstein hypersurfaces in rank-one symmetric spaces.

中文翻译：

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Cayley射影平面的爱因斯坦超曲面

我们证明，Cayley双曲平面不容许任何爱因斯坦超曲面，并且Cayley射影平面中唯一的爱因斯坦超曲面是一定半径的测地线球。这样就完成了秩对称空间中爱因斯坦超曲面的分类。