Einstein solvmanifolds with a simple Einstein derivation

dc.creatorNikolayevsky, Y.
dc.date2007-07-31
dc.date.accessioned2026-07-07T08:21:21Z
dc.date.available2026-07-07T08:21:21Z
dc.descriptionThe structure of a solvable Lie groups admitting an Einstein left-invariant metric is, in a sense, completely determined by the nilradical of its Lie algebra. We give an easy-to-check necessary and sufficient condition for a nilpotent algebra to be an Einstein nilradical whose Einstein derivation has simple eigenvalues. As an application, we classify filiform Einstein nilradicals (modulo known classification results on filiform graded Lie algebras).
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0707.4595
dc.identifierhttp://arxiv.org/abs/0707.4595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135328
dc.subjectDifferential Geometry
dc.subject53C30, 53C25
dc.titleEinstein solvmanifolds with a simple Einstein derivation
dc.typetext

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