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

Abstract

We show that 4-dimensional Riemannian manifolds which satisfy the Rakić duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are constant), thus both conditions are equivalent.

Cited by in corpus (3)

• A note on Rakić duality principle for Osserman manifolds
• Affine projective Osserman structures
• The Duality principle for Osserman algebraic curvature tensors