Homogeneous Einstein manifolds based on symplectic triple systems

Fontanals, Cristina Draper

Communications in Mathematics, Tome 28 (2020) no. 2, pp. 139-154

Abstract (VO)

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.

Détail

Classification : 17A40, 17B60, 53C30, 53C50
Keywords: Einstein metric; symplectic triple system; homogeneous manifold; curvature; 3\discretionary-Sasakian manifold; Freudenthal triple system

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