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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.

Received:
Nov 5, 2002
Published:
Nov 5, 2002
MSC Codes:
53B20
Keywords:
szabo operator, jacobi operator, osserman conjecture, higher order jacobi operator, ivanov-petrova manifolds

Related publications

inBook
2003 Repository Open Access
Bernd Fiedler and Peter B. Gilkey

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)