Complex Osserman Algebraic Curvature Tensors and Clifford Families
Miguel Brozos-Vazquez and Peter B. Gilkey
Contact the author: Please use for correspondence this email.
Submission date: 24. Aug. 2006
Keywords and phrases: algebraic curvature tensor, complex Osserman model, jacobi operator, osserman conjecture
Download full preprint: PDF (1693 kB)
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