13 citations · 73 across the 38 of their papers we have counts for
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math.DG2008★ 1 cited
Conformally Osserman manifolds
Yuri Nikolayevsky
An algebraic curvature tensor is called Osserman if the eigenvalues of the associated Jacobi operator are constant on the unit sphere. A Riemannian manifold is called conformally O…
math.DG2008★ 2 cited
Einstein solvmanifolds attached to two-step nilradicals
Y. Nikolayevsky
A Riemannian Einstein solvmanifold (possibly, any noncompact homogeneous Einstein space) is almost completely determined by the nilradical of its Lie algebra. A nilpotent Lie algeb…
math.DG2008★ 1 cited
Einstein solvmanifolds and the pre-Einstein derivation
Y. Nikolayevsky
An Einstein nilradical is a nilpotent Lie algebra, which can be the nilradical of a metric Einstein solvable Lie algebra. The classification of Riemannian Einstein solvmanifolds (p…