Tuesday, March 6, 2012

1203.0625 (Adam Bowers)

Three Dimensional Lorentz homogeneous spaces and the Petrov

Adam Bowers
In this note, we verify the classification of local geometries given by A.Z. Petrov. First, we determine criteria for identifying a given 3D Lorentz homogeneous space in Petrov's classification. Then, we identify all inequivalent 1D subalgebras of all real 4D Lie algebras and determine which of these give rise to a homogeneous space admitting an invariant Lorentz metric.
View original: http://arxiv.org/abs/1203.0625

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