Filiform nilsolitons of dimension 8

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dc.creatorArroyo, Romina M.
dc.date2008-10-24
dc.date.accessioned2026-07-07T10:13:06Z
dc.date.available2026-07-07T10:13:06Z
dc.descriptionA Riemannian manifold (M,g) is said to be Einstein if its Ricci tensor satisfies ric(g) = cg, for some real number c. In the homogeneous case, a problem that is still open is the so called Alekseevskii Conjecture. This conjecture says that any homogeneous Einstein space with negative scalar curvature (i.e. c < 0) is a solvmanifold: a simply connected solvable Lie group endowed with a left invariant Riemannian metric. The aim of this paper is to classify Einstein solvmanifolds of dimension 9 whose nilradicals are 7-step nilpotent Lie algebras of dimension 8.
dc.description12 pages, 2 tables
dc.identifierhttps://arxiv.org/abs/0810.4530
dc.identifierhttp://arxiv.org/abs/0810.4530
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172412
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.titleFiliform nilsolitons of dimension 8
dc.typetext

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