Algebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64010We classify the connected pseudo-Riemannian manifolds of signature $(p,q)$ with $q\ge5$ so that at each point of $M$ the skew-symmetric curvature operator has constant rank 2 and constant Jordan normal form on the set of spacelike 2 planes and so that the skew-symmetric curvature operator is not nilpotent for at least one point of $M$.Differential Geometry53A15Algebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal formtext