We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
96/2002
Nilpotent Szabo Osserman and Ivanov-Petrova Pseudo-Riemannian Manifolds
Bernd Fiedler and Peter B. Gilkey
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.
Nilpotent Szabó, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds
In: Recent advances in Riemannian and Lorentzian geometries / Krishnan L. Duggal (ed.) Providence, RI : American Mathematical Society, 2003. - pp. 53-63 (Contemporary mathematics ; 337)