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(2002 / vol.5 / no.2)
The spectral geometry of the Riemann curvature tensor
Peter B. Gilkey, Raina vanova, Tan Zhang
Pages. 105-114     



1. Introduction
2. The Jacobi Operator
3. The higher order Jacobi operator
4. The skew-symmetric curvature operator
5. The skew-symmetric curvature operator in the complex setting
6. The Szab'o Operator



Osserman tensors, Ivanov-Petrova tensors, Szab tensors, higher order Jacobi operator, pseudo-Riemannian manifold, algebraic curvature tensor, algebraic covariant derivative tensor.



53B20