Abstract
We refine existing structure results for non-compact, homogeneous, Einstein manifolds and provide a reduction in the classification problem of such spaces. Using this work, we verify the (Generalized) Alekseevskii conjecture for a large class of homogeneous spaces.
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Acknowledgments
The first author would like to thank J. Lauret for stimulating conversations on the topic of this paper. The first author was supported in part by NSF Grant DMS-1105647. The second author was supported in part by NSF Grant DMS-1006677.
