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Keywords:
Einstein metric; symplectic triple system; homogeneous manifold; curvature; 3\discretionary-Sasakian manifold; Freudenthal triple system
Einstein metric; symplectic triple system; homogeneous manifold; curvature; 3\discretionary-Sasakian manifold; Freudenthal triple system
Summary:
For each simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semi-Riemannian homogeneous manifold. It is proved that this is an Einstein manifold.
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