Compact Osserman manifolds with neutral metric

2010/04/07 by Miguel Brozos‐Vázquez, M. Brozos-Vazquez, Eduardo García‐Río +9
Mathematics · #53B30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53B30 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1004.1145

arxiv created 2010/04/07 · openalex publication_date 2010/04/07 · arxiv updated 2010/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that if a compact four-dimensional manifold with metric of neutral signature is Jordan-Osserman, then it is either of constant sectional curvature or Ricci flat.

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