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Curvature homogeneous Lorentzian three-manifolds

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Abstract

We study three-dimensional curvature homogeneous Lorentzian manifolds. We prove that for all Segre types of the Ricci operator, there exist examples of nonhomogeneous curvature homogeneous Lorentzian metrics in \({\mathbb R^3}\) .

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  1. Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Leece, Italy

    Giovanni Calvaruso

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  1. Giovanni Calvaruso
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Correspondence to Giovanni Calvaruso.

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Calvaruso, G. Curvature homogeneous Lorentzian three-manifolds. Ann Glob Anal Geom 36, 1–17 (2009). https://doi.org/10.1007/s10455-008-9144-6

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  • DOI: https://doi.org/10.1007/s10455-008-9144-6

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