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20002005
most citedAlgebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

17 citations · 72 across the 27 of their papers we have counts for

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Showing 2004 · math.DGShow all

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math.DG2004★ 8 cited

Curvature homogeneous signature (2,2) manifolds

C. Dunn, P. Gilkey, S. Nikcevic

We exhibit a family of generalized plane wave manifolds of signature (2,2). The geodesics in these manifolds extend for infinite time (i.e. they are complete), they are spacelike a…

math.DG2004

Complete k-curvature homogeneous pseudo-Riemannian manifolds

P. Gilkey, S. Nikcevic

For any k which is at least 2, we exhibit complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not k+1-affine curvature homogeneous, and hence n…