Nonsymmetric Osserman pseudo-Riemannian manifolds

DOI10.1090/S0002-9939-98-04666-8zbMath0939.53014OpenAlexW1960038042WikidataQ115289185 ScholiaQ115289185MaRDI QIDQ4211006

Eduardo García-Río, Ramón Vázquez-Lorenzo, M. Elena Vázquez-Abal

Publication date: 10 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04666-8

zbMATH Keywords

pseudo-Riemannian metricOsserman spaceJacobi operator

Mathematics Subject Classification ID

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

Related Items (12)

Osserman pseudo-Riemannian manifolds of signature (2,2) ⋮ Two families of affine Osserman connections on 3-dimensional manifolds ⋮ Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues ⋮ Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators ⋮ Curvature properties of \(\varphi\)-null Osserman Lorentzian \(\mathcal S\)-manifolds ⋮ Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators ⋮ Paraquaternionic Kähler manifolds ⋮ The geometry of a bi-Lagrangian manifold ⋮ The Jordan normal form of Osserman algebraic curvature tensors ⋮ New examples of Osserman metrics with nondiagonalizable Jacobi operators ⋮ Affine Osserman connections and their Riemann extensions ⋮ Projective affine Osserman curvature models

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