The Jordan normal form of Osserman algebraic curvature tensors

DOI10.1007/BF03322705zbMath0999.53014MaRDI QIDQ5954151

Peter B. Gilkey, Raina Ivanova

Publication date: 25 November 2002

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

algebraic curvature tensorJacobi operatorOsserman conjecture

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

On quasi-Clifford Osserman curvature tensors ⋮ Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators ⋮ Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators ⋮ New examples of Osserman metrics with nondiagonalizable Jacobi operators ⋮ CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS ⋮ Projective affine Osserman curvature models

Cites Work

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• A curvature characterization of certain locally rank-one symmetric spaces
• Manifolds whose curvature operator has constant eigenvalues at the basepoint
• On a problem of Osserman in Lorentzian geometry
• Determination of the structure of algebraic curvature tensors by means of Young symmetrizers
• Negatively curved homogeneous Osserman spaces
• Curvature in the Eighties
• Nonsymmetric Osserman indefinite Kähler manifolds
• Nonsymmetric Osserman pseudo-Riemannian manifolds
• A note on the Osserman conjecture and isotropic covariant derivative of curvature
• THE CURVATURE OF EINSTEIN SYMMETRIC SPACES
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
• Vector fields on spheres
• Osserman manifolds in semi-Riemannian geometry

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