On a problem of Osserman in Lorentzian geometry

DOI10.1016/S0926-2245(96)00037-XzbMath0880.53017OpenAlexW2110772086WikidataQ115337627 ScholiaQ115337627MaRDI QIDQ1360122

Demir N. Kupeli, M. Elena Vázquez-Abal, Eduardo García-Río

Publication date: 12 January 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00037-x

zbMATH Keywords

warped productJacobi operatorOsserman conjecture

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

Osserman pseudo-Riemannian manifolds of signature (2,2), Natural curvature operators of bounded spectrum, Classification of some geometric structures on 4-dimensional Riemannian Lie group, 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, Generalized Osserman manifolds, Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators, THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS, Paraquaternionic Kähler manifolds, CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS, The Jordan normal form of Osserman algebraic curvature tensors, New examples of Osserman metrics with nondiagonalizable Jacobi operators, Pseudo-Riemannian manifolds with commuting Jacobi operators, Affine Osserman connections and their Riemann extensions, Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial, On Lorentzian spaces of constant sectional curvature, Four-dimensional indefinite Kähler Osserman manifolds, Projective affine Osserman curvature models

Cites Work

• Unnamed Item
• Unnamed Item
• Curvature of indefinite almost contact manifolds
• Quaternionic Kaehler manifolds and a curvature characterization of two- point homogeneous spaces
• A characterization of Robertson-Walker spaces by null sectional curvature
• A curvature characterization of certain locally rank-one symmetric spaces
• On conjugate and focal points in semi-Riemannian geometry
• On the existence of generalized complex space forms
• Almost contact structures and curvature tensors
• Infinitesimale Charakterisierung von Friedmann-Universen
• Curvature characterization and classification of rank-one symmetric spaces
• On sectional curvature of indefinite metrics. II
• Twisted products in pseudo-Riemannian geometry
• Null and infinitesimal isotropy in semi-Riemannian geometry
• Manifolds whose curvature operator has constant eigenvalues at the basepoint
• Remarks on Sectional Curvature of an Indefinite Metric
• Curvature in the Eighties
• Cut points, conjugate points and Lorentzian comparison theorems
• Curvature Tensors on Almost Hermitian Manifolds
• General relativity and cosmology
• Riemannian Metrics with the Prescribed Curvature Tensor and all Its Covariant Derivatives at One Point
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
• Infinitesimal null isotropy and Robertson–Walker metrics
• Curvature and the Petrov Canonical Forms