Flat homogeneous pseudo-Riemannian manifolds
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The complete homogeneous pseudo-Riemannian manifolds of constant non-zero curvature were classified up to isometry in 1961 . In the same year, a structure theory  was developed for complete flat homogeneous pseudo-Riemannian manifolds. Here that structure theory is sharpened to a classification. This completes the classification of complete homogeneous pseudo-Riemannian manifolds of arbitrary constant curvature.
Mathematics Subject ClassificationsPrimary 53C30 53C50 Secondary 14H30
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