Complex Osserman Algebraic Curvature Tensors and Clifford Families

Miguel Brozos-Vazquez, and Peter B. Gilkey
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Submission date: 24. Aug. 2006
Pages: 20
MSC-Numbers: 53C20
Keywords and phrases: algebraic curvature tensor, complex Osserman model, jacobi operator, osserman conjecture
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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