Compact Homogeneous Einstein 7-Manifolds
Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 129-145.

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In this article, we classify invariant Einstein metrics on simply connected compact homogeneous spaces of dimension 7 with a semisimple motion group.
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Yu. G. Nikonorov. Compact Homogeneous Einstein 7-Manifolds. Matematičeskie trudy, Tome 3 (2000) no. 2, pp. 129-145. http://geodesic.mathdoc.fr/item/MT_2000_3_2_a4/