Homogeneous Einstein manifolds of negative scalar curvature: construction using Clifford modules (Q1851075)

All known examples of non-compact, non-flat homogeneous Einstein manifolds are isometric to simply connected solvable Lie groups equipped with a left-invariant Riemannian metric. The author started his study of these spaces in [Geom. Dedicata 80, 187-200 (2000; Zbl 0964.53029)] where he obtained in some special case the necessary and sufficient conditions for their existence. The construction of some specific examples showed the important role played by Clifford structures. In this paper, the author continues to study the existence problem and, using Clifford modules, he gives a method for the construction of many examples.