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- W1565500755 abstract "We classify those curvature-homogeneous Einstein four-manifolds, of all metric signatures, which have a complex-diagonalizable curvature operator. They all turn out to be locally homogeneous. More precisely, any such manifold must be either locally symmetric or locally isometric to a suitable Lie group with a left-invariant metric. To show this we explicitly determine the possible local-isometry types of manifolds that have the properties named above, but are not locally symmetric." @default.
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- W1565500755 date "2003-01-01" @default.
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- W1565500755 title "Curvature-homogeneous indefinite Einstein metrics in dimension four: the diagonalizable case" @default.
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- W1565500755 doi "https://doi.org/10.1090/conm/337/06049" @default.
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