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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

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

Complex Osserman algebraic curvature tensors and Clifford families