M Chaichi et al 2005 J. Phys. A: Math. Gen. 38 841 doi:10.1088/0305-4470/38/4/005
M Chaichi1, E García-Río2 and M E Vázquez-Abal2
Show affiliationsCurvature properties of three-dimensional Lorentz manifolds admitting a parallel degenerate line field are examined. A complete characterization of those manifolds being locally symmetric or locally conformally flat is obtained. The results of this study show nice families of examples of such properties within the Lorentzian setting.
02.40.Ky Riemannian geometries
53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions (See also 58J60)
Issue 4 (28 January 2005)
Received 23 July 2004, in final form 25 November 2004
Published 12 January 2005
M Chaichi et al 2005 J. Phys. A: Math. Gen. 38 841
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