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20002009
most citedAlgebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

17 citations · 76 across the 37 of their papers we have counts for

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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…