Geodesic
Invariant Einstein Metrics on Three-Locally-Symmetric Spaces
Matematičeskie trudy, Tome 6 (2003) no. 2, pp. 80-101.

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We study the problem of existence and the number of invariant Einstein metrics on three-locally-symmetric spaces. We prove that if there are no isomorphic modules in the isotropy decomposition then the number of invariant Einstein metrics (up to isometry and homothety) varies from one to four. Basing on these results, we construct new examples of Einstein metrics. 
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A. M. Lomshakov; Yu. G. Nikonorov; E. V. Firsov. Invariant Einstein Metrics on Three-Locally-Symmetric Spaces. Matematičeskie trudy, Tome 6 (2003) no. 2, pp. 80-101. http://geodesic.mathdoc.fr/item/MT_2003_6_2_a3/

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