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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…