Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting

Details Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting

2002-05-07

arxiv.org/abs/math/0205072v1

Mathematics

Differential Geometry

Scientific paper

Let $R$ be an algebraic curvature tensor on a vector space of signature
$(p,q)$ defining a spacelike Jordan Osserman Jacobi operator $\JJ_R$. We show
that the eigenvalues of $\JJ_R$ are real and that $\JJ_R$ is diagonalizable if
$p

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