Einstein hypersurfaces of the Cayley projective plane
Affiliation:
1. Department of Mathematics, Sungkyunkwan University, Suwon, 16419, Republic of Korea;2. Department of Mathematics and Statistics, La Trobe University, Melbourne, Victoria, 3086, Australia
Abstract:
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.