On curvature homogeneous three-dimensional Lorentzian manifolds

DOI10.1016/S0393-0440(96)00037-XzbMath0881.53055WikidataQ126781275 ScholiaQ126781275MaRDI QIDQ1360581

Peter Bueken

Publication date: 17 July 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

homogeneous modelclassification up to local isometrycurvature homogeneous Lorentz 3-manifoldsnon-diagonalizable Ricci operator

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35)

Related Items (18)

Curvature homogeneous Lorentzian three-manifolds ⋮ Curvature homogeneous critical metrics in dimension three ⋮ Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ On a generalization of curvature homogeneous spaces ⋮ Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues ⋮ LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS ⋮ Locally homogeneous four-dimensional manifolds of signature \((2,2)\) ⋮ Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues ⋮ Three-dimensional homogeneous Lorentzian metrics with prescribed Ricci tensor ⋮ On the Einstein condition for Lorentzian 3-manifolds ⋮ Three-dimensional Ivanov–Petrova manifolds ⋮ A new family of curvature homogeneous pseudo-Riemannian manifolds ⋮ THE CURVATURE HOMOGENEITY BOUND FOR LORENTZIAN FOUR-MANIFOLDS ⋮ LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES ⋮ Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one ⋮ On the Ricci operator of locally homogeneous Lorentzian 3-manifolds ⋮ On curvature-homogeneous spaces of type (1,3) ⋮ PSEUDO-SYMMETRIC LORENTZIAN THREE-MANIFOLDS

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