Four-dimensional Osserman metrics of neutral signature

Details Four-dimensional Osserman metrics of neutral signature Four-dimensional Osserman metrics of neutral signature

2008-04-02

arxiv.org/abs/0804.0436v1

Mathematics

Differential Geometry

Scientific paper

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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