Puffini-Videv Models and Manifolds

P. Gilkey, E. Puffini, V. Videv

Let $J(\pi )$ be the higher order Jacobi operator. We study algebraic curvature tensors where $J(\pi )J({\pi }^{\perp })=J({\pi }^{\perp })J(\pi )$. In the Riemannian setting, we give a complete charac…