Puffini-Videv Models and Manifolds
Gilkey, P. · Puffini, E. · Videv, V.
Original · EN
Let J(π) be the higher order Jacobi operator. We study algebraic curvature tensors where J(π)J(π⊥)=J(π⊥)J(π). In the Riemannian setting, we give a complete characterization of such tensors; in the pseudo-Riemannian setting, partial results are available. We present non-trivial geometric examples of Riemannian manifolds with this property.
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