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math.DG2006★ 9 cited
Nilradicals of Einstein solvmanifolds
Y. Nikolayevsky
A Riemannian Einstein solvmanifold is called standard, if the orthogonal complement to the nilradical of its Lie algebra is abelian. No examples of nonstandard solvmanifolds are kn…
math.DG2006
Einstein solvmanifolds with free nilradical
Y. Nikolayevsky
We classify solvable Lie groups with a free nilradical admitting an Einstein left-invariant metric. Any such group is essentially determined by the nilradical of its Lie algebra, w…