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We obtain all the three-dimensional Lorentzian metrics which admit threeKilling vectors. The classification has been done with the aid of the formalismwhich exploits the obstruction criteria for the Killing equations recentlydeveloped by present authors. The current classification method does not relyon the transitivity property of the isometry group. It turns out that theLorentzian manifold harbors a much richer spectrum of metrics with variousSegre types, compared to the Riemannian case.

All the three dimensional Lorentzian metrics admitting three Killing vectors