Six-Dimensional Einstein Solvmanifolds

E. V. Nikitenko ; Yu. G. Nikonorov

Matematičeskie trudy, Tome 8 (2005) no. 1, pp. 71-121.

Résumé

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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