Higher order Jordan Osserman Pseudo-Riemannian manifolds

Details Higher order Jordan Osserman Pseudo-Riemannian manifolds Higher order Jordan Osserman Pseudo-Riemannian manifolds

2002-05-25

arxiv.org/abs/math/0205269v2

Mathematics

Differential Geometry

Scientific paper

10.1088/0264-9381/19/17/306

We study the higher order Jacobi operator in pseudo-Riemannian geometry. We
exhibit a family of manifolds so that this operator has constant Jordan normal
form on the Grassmannian of subspaces of signature (r,s) for certain values of
(r,s). These pseudo-Riemannian manifolds are new and non-trivial examples of
higher order Osserman manifolds.

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