Four-dimensional naturally reductive pseudo-Riemannian spaces

2014/07/11 by Wafaâ Batat, Wafaa Batat, Marco Castrillon Lopez +5
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1407.3106

arxiv created 2014/07/11 · openalex publication_date 2014/07/11 · arxiv updated 2014/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposable manifolds which are studied at the end of the article. The oscillator group is also analyzed from the point of view of this classification.

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