Nilpotent Szabo Osserman and Ivanov-Petrova Pseudo-Riemannian Manifolds

Bernd Fiedler, and Peter B. Gilkey
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Submission date: 05. Nov. 2002
Pages: 11
published in: Recent advances in Riemannian and Lorentzian geometries / K. L. Duggal (ed.)
Providence, RI : American Mathematical Society, 2003. - P. 53 - 63 
MSC-Numbers: 53B20
Keywords and phrases: szabo operator, jacobi operator, osserman conjecture, higher order jacobi operator, ivanov-petrova manifolds
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Abstract:
We exhibit pseudo Riemannian manifolds which are Szabo nilpotent of arbitrary order, or which are Osserman nilpotent of arbitrary order, or which are Ivanov-Petrova nilpotent of order 3.