A non-Standard Indefinite Einstein Solvmanifold

2024/08/31 by Federico A. Rossi, Rossi, Federico A. · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2409.00462

Abstract

We describe an example of an indefinite invariant Einstein metric on a solvmanifold which is not standard, and whose restriction on the nilradical is nondegenerate.

Cited by

• Einstein metrics and Killing spinors on pseudo-Riemannian solvmanifolds

Related

• Nilradicals of Einstein solvmanifolds
• Einstein solvmanifolds are standard
• Einstein metrics and Killing spinors on pseudo-Riemannian solvmanifolds
• Einstein solvmanifolds and nilsolitons
• New examples of non-symmetric Einstein solvmanifolds of negative Ricci\n curvature