Geometriae Dedicata

, Volume 113, Issue 1, pp 107–143 | Cite as

Noncompact Homogeneous Einstein 5-Manifolds

Article

Abstract

This article is devoted to the classification of noncompact homogeneous Einstein 5-manifolds. In particular, we prove that each noncompact homogeneous Einstein 5-manifolds is locally isometric to some standard Einstein solvmanifold

Keywords

Riemannian manifolds solvmanifolds homogeneous spaces Einstein metrics 

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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Rubtsovsk Industrial instituteRubtsovskRussia

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