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Four-dimensional Osserman metrics of neutral signature

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 نشر من قبل Peter B. Gilkey
 تاريخ النشر 2008
  مجال البحث
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In the algebraic context, we show that null Osserman, spacelike Osserman, and timelike Osserman are equivalent conditions for a model of signature (2,2). We also classify the null Jordan Osserman models of signature (2,2). In the geometric context, we show that a pseudo-Riemannian manifold of signature (2,2) is null Jordan Osserman if and only if either it has constant sectional curvature or it is locally a complex space form.



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