The signature of the Ricci curvature of left invariant Riemannian metrics on 4-dimensional Lie groups

Abstract

In this paper, we present the classification of all possible signatures of the Ricci curvature of left-invariant Riemannian metrics on 4-dimensional Lie groups and discuss some related questions.

arXiv comment12 pages, extended and corrected version

References in corpus (1)

• Automorphisms of Real 4 Dimensional Lie Algebras and the Invariant Characterization of Homogeneous 4-Spaces