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Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One

  Published:2010-05-11
 Printed: Sep 2010
  • G. Calvaruso,
    Dip. di Matematica “E. De Giorgi”, Università di Lecce, Prov. Lecce-Arnesano, Lecce, Italy
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Abstract

We completely classify three-dimensional Lorentz manifolds, curvature homogeneous up to order one, equipped with Einstein-like metrics. New examples arise with respect to both homogeneous examples and three-dimensional Lorentz manifolds admitting a degenerate parallel null line field.
Keywords: Lorentz manifolds, curvature homogeneity, Einstein-like metrics Lorentz manifolds, curvature homogeneity, Einstein-like metrics
MSC Classifications: 53C50, 53C20, 53C30 show english descriptions Lorentz manifolds, manifolds with indefinite metrics
Global Riemannian geometry, including pinching [See also 31C12, 58B20]
Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
53C50 - Lorentz manifolds, manifolds with indefinite metrics
53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]
 

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