%0 Journal Article
%T Four-dimensional Osserman metrics of neutral signature
%A E. Garcia-Rio
%A P. Gilkey
%A M. E. Vazquez-Abal
%A R. Vazquez-Lorenzo
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0804.0436v1