New examples of homogeneous Einstein metrics.

1998/04/01 by Megan M. Kerr · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.1307/mmj/1030132086

crossref issued 1998/04/01 · crossref published 1998/04/01 · crossref published-print 1998/04/01 · openalex publication_date 1998/04/01 · crossref created 2002/12/04 · crossref deposited 2021/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/22 · crossref indexed 2026/08/01

Abstract

A Riemannian metric is said to be Einstein if the Ricci curvature is a constant multiple of the metric. Given a manifold M, one can ask whether M carries an Einstein metric, and if so, how many. This fundamental question in Riemannian geometry is for the most part unsolved (cf. [Bes]). As a global PDE or a variational problem, the question is intractible. It becomes more manageable

Citations

• Naturally reductive metrics and Einstein metrics on compact Lie groups

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