A step towards the Alekseevskii Conjecture
Differential Geometry
2016-05-27 v3
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.
Cite
@article{arxiv.1403.5037,
title = {A step towards the Alekseevskii Conjecture},
author = {Michael Jablonski and Peter Petersen},
journal= {arXiv preprint arXiv:1403.5037},
year = {2016}
}
Comments
12 pages, proof of main result simplified, final version to appear in Math. Annalen