Noncompact homogeneous Einstein manifolds attached to graded Lie algebras

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dc.creatorTamaru, Hiroshi
dc.date2006-10-23
dc.date.accessioned2026-07-07T07:29:20Z
dc.date.available2026-07-07T07:29:20Z
dc.descriptionIn this paper, we study the nilradicals of parabolic subalgebras of semisimple Lie algebras and the natural one-dimensional solvable extensions of them. We investigate the structures, curvatures and Einstein conditions of the associated nilmanifolds and solvmanifolds. We show that our solvmanifold is Einstein if the nilradical is of two-step. New examples of Einstein solvmanifolds with three-step and four-step nilradicals are also given.
dc.description19 pages, the first version was written in March 2004
dc.identifierhttps://arxiv.org/abs/math/0610675
dc.identifierhttp://arxiv.org/abs/math/0610675
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118065
dc.subjectDifferential Geometry
dc.subject53C30; 22E25; 53C25; 53C35
dc.titleNoncompact homogeneous Einstein manifolds attached to graded Lie algebras
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