Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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)