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arxiv: 1011.3977 · v3 · pith:YBXIQNBInew · submitted 2010-11-17 · 🧮 math.DG

Conformally flat Lorentzian manifolds with special holonomy groups

classification 🧮 math.DG
keywords conformallyflatgroupsholonomylocallorentzianmanifoldsmetrics
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The local classification of conformally flat Lorentzian manifolds with special holonomy groups is obtained. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics.

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