Manifolds with commuting Jacobi operators

2005/07/27 by Miguel Brozos‐Vázquez, M. Brozos-Vazquez, Peter Gilkey +3
Mathematics · Physics and Astronomy · #53C20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0507554

arxiv created 2005/07/27 · openalex publication_date 2005/07/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.

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