Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64003Let $R$ 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 $p<q$.Differential Geometry53B20Spacelike Jordan Osserman algebraic curvature tensors in the higher signature settingtext