New homogeneous Einstein metrics of negative Ricci curvature

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We 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.
19 pages

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Differential Geometry, 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/78969

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908089
 http://arxiv.org/abs/math/9908089

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arXiv