The Jordan normal form of higher order Osserman algebraic curvature tensors

Gilkey, Peter ; Ivanova, Raina

Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 231-242 / Harvested from Czech Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2002-01-01

MR 1922124 | Zbl 1090.53022

Classification:  53B20

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