Geodesic
Homogeneous Einstein manifolds based on symplectic triple systems
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 139-154

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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.
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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     author = {Fontanals, Cristina Draper},
     title = {Homogeneous {Einstein} manifolds based on symplectic triple systems},
     journal = {Communications in Mathematics},
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Fontanals, Cristina Draper. Homogeneous Einstein manifolds based on symplectic triple systems. Communications in Mathematics, Tome 28 (2020) no. 2, pp. 139-154. http://geodesic.mathdoc.fr/item/COMIM_2020__28_2_a3/