New homogeneous Einstein metrics of negative Ricci curvature

Simple item page
dc.creatorGordon, Carolyn S.
dc.creatorKerr, Megan M.
dc.date1999-08-17
dc.date.accessioned2026-07-07T05:30:22Z
dc.date.available2026-07-07T05:30:22Z
dc.descriptionWe construct new homogeneous Einstein spaces with negative Ricci curvature in two ways: First, we give a method for classifying and constructing a class of rank one Einstein solvmanifolds whose derived algebras are two-step nilpotent. As an application, we describe an explicit continuous family of ten-dimensional Einstein manifolds with a two-dimensional parameter space, including a continuous subfamily of manifolds with negative sectional curvature. Secondly, we obtain new examples of non-symmetric Einstein solvmanifolds by modifying the algebraic structure of non-compact irreducible symmetric spaces of rank greater than one, preserving the (constant) Ricci curvature.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/9908089
dc.identifierhttp://arxiv.org/abs/math/9908089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78969
dc.subjectDifferential Geometry
dc.subject53C30
dc.titleNew homogeneous Einstein metrics of negative Ricci curvature
dc.typetext

Files

Collections

arXiv