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math.DG2007★ 1 cited
The classification of simple Jacobi--Ricci commuting algebraic curvature tensors
P. Gilkey, S. Nikcevic
We classify algebraic curvature tensors such that the Ricci operator is simple (i.e. the Ricci operator is complex diagonalizable and either the complex spectrum consists of a sing…
math.DG2007
Projectively Osserman manifolds
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
One says that a smooth manifold M is a pseudo-Riemannian manifold of signature (p,q) if the tangent bundle TM is equipped with a smooth non-degenerate symmetric inner product g of…