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

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

2002-05-08

arxiv.org/abs/math/0205079v1

Mathematics

Differential Geometry

Scientific paper

We 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 $M$.

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