The Duality principle for Osserman algebraic curvature tensors

Abstract

We prove that for an algebraic curvature tensor on a pseudo-Euclidean space, the Jordan-Osserman condition implies the Rakić duality principle, and that the Osserman condition and the duality principle are equivalent in the diagonalisable case.

5 pages

References in corpus (1)

• Equivalence between the Osserman condition and the Rakić duality principle in dimension four