Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous

2003/06/03 by Corey Dunn, Peter Gilkey, Dunn, Corey +2
Engineering · Mathematics · Physics and Astronomy · #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Thermoelastic and Magnetoelastic Phenomena #math-ph #math.DG #math.MP #msc:53C50

paper · pdf · doi:10.48550/arxiv.math/0306072

arxiv created 2003/06/03 · openalex publication_date 2003/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.

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