activity
20032005
most citedConformally Osserman manifolds and self-duality in Riemannian geometry

14 citations · 31 across the 9 of their papers we have counts for

collaborators
Showing 2004Show all

2 papers · 1 filter

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…