Geodesic
Six-Dimensional Einstein Solvmanifolds
Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 71-121

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In this article, we completely classify the six-dimensional Einstein solvmanifolds. In particular, we show that all such solvmanifolds are standard. We also classify the homogeneous Einstein 6-manifolds of nonpositive sectional curvature. Moreover, we obtain some structural results about several classes of Einstein solvmanifolds of greater dimension. 
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     author = {E. V. Nikitenko and Yu. G. Nikonorov},
     title = {Six-Dimensional {Einstein} {Solvmanifolds}},
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E. V. Nikitenko; Yu. G. Nikonorov. Six-Dimensional Einstein Solvmanifolds. Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 71-121. http://geodesic.mathdoc.fr/item/MT_2005_8_1_a2/