Complex IP pseudo-Riemannian algebraic curvature tensors

Peter B. Gilkey; Raina Ivanova

Displaying similar documents to “Complex IP pseudo-Riemannian algebraic curvature tensors”

The nonexistence of rank 4 IP tensors in signature $(1, 3)$ .

Pearson, Kelly Jeanne, Zhang, Tan (2002)

International Journal of Mathematics and Mathematical Sciences

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The Jordan normal form of higher order Osserman algebraic curvature tensors

Peter Gilkey, Raina Ivanova (2002)

Commentationes Mathematicae Universitatis Carolinae

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We construct new examples of algebraic curvature tensors so that the Jordan normal form of the higher order Jacobi operator is constant on the Grassmannian of subspaces of type $(r, s)$ in a vector space of signature $(p, q)$ . We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors.