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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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},
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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/