New examples of non-symmetric Einstein solvmanifolds of negative Ricci curvature

الأصل · EN

We obtain new examples of non-symmetric Einstein solvmanifolds by combining two techniques. In T2, H. Tamaru constructs new attached solvmanifolds, which are submanifolds of the solvmanifolds corresponding to noncompact symmetric spaces, endowed with a natural metric. Extending this construction, we apply it to associated solvmanifolds, described in GK, obtained by modifying the algebraic structure of the solvable Lie algebras corresponding to noncompact symmetric spaces. Our new examples are Einstein solvmanifolds with nilradicals of high nilpotency, which are geometrically distinct from noncompact symmetric spaces and their submanifolds.