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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
88/2006

Complex Osserman Algebraic Curvature Tensors and Clifford Families

Miguel Brozos-Vazquez and Peter B. Gilkey

Abstract

We use methods of algebraic topology to study the eigenvalue structure of a complex Osserman algebraic curvature tensor. We classify the algebraic curvature tensors which are both Osserman and complex Osserman in all but a finite number of exceptional dimensions

Received:
Aug 24, 2006
Published:
Aug 24, 2006
MSC Codes:
53C20
Keywords:
algebraic curvature tensor, complex Osserman model, jacobi operator, osserman conjecture

Related publications

Preprint
2006 Repository Open Access
Miguel Brozos-Vazquez and Peter B. Gilkey

Complex Osserman algebraic curvature tensors and Clifford families