PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS

DOI10.1142/S0219887807002272zbMath1141.53014arXiv0708.1096WikidataQ115245500 ScholiaQ115245500MaRDI QIDQ3503075

Peter B. Gilkey, Stana Ž. Nikčević

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1096

zbMATH Keywords

Einstein manifoldJacobi operatorRicci operatorcurvature homogeneousWalker manifoldJacobi-Videv manifold

Mathematics Subject Classification ID

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

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Commutative curvature operators over four-dimensional homogeneous manifolds ⋮ LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS ⋮ GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS ⋮ Geometric realizations of Hermitian curvature models ⋮ CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS

Cites Work

• Self-dual Walker metrics with a two-step nilpotent Ricci operator
• Lorentz manifolds modelled on a Lorentz symmetric space
• Non-uniqueness of the metric in Lorentzian manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Walker 4-manifolds with proper almost complex structures
• Examples of curvature homogeneous Lorentz metrics
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Curvature properties of four-dimensional Walker metrics
• A search for new (2,2) strings
• AFFINE CURVATURE HOMOGENEOUS 3-DIMENSIONAL LORENTZ MANIFOLDS