A step towards the Alekseevskii Conjecture

Abstract

We provide a reduction in the classification problem for non-compact, homogeneous, Einstein manifolds. Using this work, we verify the (Generalized) Alekseevskii Conjecture for a large class of homogeneous spaces.

12 pages, proof of main result simplified, final version to appear in Math. Annalen

References in corpus (4)

• Strongly solvable spaces
• Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
• Homogeneous Ricci solitons in low dimensions
• The Alekseevskii conjecture in low dimensions

Cited by in corpus (2)

• Half-flat structures inducing Einstein metrics on homogeneous spaces
• The Alekseevskii conjecture in low dimensions