Some New Homogeneous Einstein Metrics on Symmetric Spaces

Kerr, Megan

doi:10.1090/S0002-9947-96-01512-7

Some New Homogeneous Einstein Metrics on Symmetric Spaces
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by Megan M. Kerr PDF

Trans. Amer. Math. Soc. 348 (1996), 153-171 Request permission

Abstract:

We classify homogeneous Einstein metrics on compact irreducible symmetric spaces. In particular, we consider symmetric spaces with rank$(M)> 1$, not isometric to a compact Lie group. Whenever there exists a closed proper subgroup $G$ of Isom$(M)$ acting transitively on $M$ we find all $G$-homogeneous (non-symmetric) Einstein metrics on $M$.

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