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

Published online by Cambridge University Press:  20 November 2018

G. Calvaruso
G. Calvaruso*
Affiliation:
Dip. di Matematica “E. De Giorgi”, Università di Lecce, Prov. Lecce-Arnesano, Lecce, Italy e-mail: giovanni.calvaruso@unile.it
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Abstract

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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

53C5053C2053C30Lorentz manifoldscurvature homogeneityEinstein-like metrics
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 3 , 01 September 2010 , pp. 412 - 424
Copyright
Copyright © Canadian Mathematical Society 2010

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