Generalized Osserman four-dimensional manifolds

DOI10.1088/0264-9381/18/22/307zbMath1004.53049OpenAlexW1973724732MaRDI QIDQ4328730

Eduardo García-Río, Agustín Bonome, Paula M. Castro

Publication date: 29 April 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/18/22/307

zbMATH Keywords

pseudo-Riemannian manifoldgeneralized Jacobi operator\(k\)-Osserman manifoldcurvature homogeneous up to order \(k\)generalized Osserman manifoldscalar curvature invariant of order \(m\)

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Classification of some geometric structures on 4-dimensional Riemannian Lie group ⋮ Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds ⋮ New examples of Osserman metrics with nondiagonalizable Jacobi operators

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