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

2008/09/29 by A. G. Kremlyov, Kremlyov, A. G., Yu. G. Nikonorov +1
Mathematics · Physics and Astronomy · #53C20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0809.4908

openalex publication_date 2008/09/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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