On the Space of 3-dimensional Homogeneous Riemannian Manifolds

2001/09/04 by Hans‐Jürgen Schmidt, H. -J. Schmidt, Schmidt, H. -J.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0109008

2 pages, LaTeX, reprinted from Proc. Conf. Brno (1995)

arxiv created 2001/09/04 · openalex publication_date 2001/09/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We answer the following question: Let l, m, n be arbitrary real numbers. Does there exist a 3-dimensional homogeneous Riemannian manifold whose eigenvalues of the Ricci tensor are just l, m and n ?

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