Tan Zhang

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

17 citations · 21 across the 3 of their papers we have counts for

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math.DG2002

Szabo Osserman IP Pseudo-Riemannian manifolds

Peter Gilkey, Raina Ivanova, Tan Zhang

We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their d…

math.DG2002★ 4 cited

Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2

Peter Gilkey, Tan Zhang

Let R be an algebraic curvature tensor for a non-degenerate inner product of signature(p,q) where q>4. If $π$ is a spacelike 2 plane, let $R (π)$ be the associated skew-symmetric cu…

math.DG2002★ 17 cited

Algebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

Peter Gilkey, Tan Zhang

We classify the connected pseudo-Riemannian manifolds of signature $(p, q)$ with $q \geq 5$ so that at each point of $M$ the skew-symmetric curvature operator has constant rank 2 and c…