Low-dimensional homogeneous Einstein manifolds

Böhm, Christoph; Kerr, Megan

doi:10.1090/S0002-9947-05-04096-1

Low-dimensional homogeneous Einstein manifolds
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by Christoph Böhm and Megan M. Kerr PDF

Trans. Amer. Math. Soc. 358 (2006), 1455-1468 Request permission

Abstract:

We show that compact, simply connected homogeneous spaces up to dimension $11$ admit homogeneous Einstein metrics.

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