Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators
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Publication:2434060
DOI10.1007/BF02930986zbMath1105.53052arXivmath/0507556OpenAlexW2026244639MaRDI QIDQ2434060
Eduardo Carcía-Río, José Carlos Díaz-Ramos, Ramón Vázquez-Lorenzo
Publication date: 31 October 2006
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507556
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
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Cites Work
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- Osserman manifolds of dimension 8
- A curvature characterization of certain locally rank-one symmetric spaces
- On a problem of Osserman in Lorentzian geometry
- Pseudo-Riemannian manifolds with simple Jacobi operators.
- Osserman conjecture in dimension \(n \not= 8, 16\)
- A survey on paracomplex geometry
- New examples of Osserman metrics with nondiagonalizable Jacobi operators
- Bochner-Kähler metrics
- Four-dimensional indefinite Kähler Osserman manifolds
- Shape Operators of Einstein Hypersurfaces in Indefinite Space Forms
- Nonsymmetric Osserman pseudo-Riemannian manifolds
- Osserman pseudo-Riemannian manifolds of signature (2,2)
- Curvature properties of four-dimensional Walker metrics
- ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
- CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
- The Jordan normal form of Osserman algebraic curvature tensors
- Four-dimensional Osserman symmetric spaces
- Osserman manifolds in semi-Riemannian geometry