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20002012
most citedAlgebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form

17 citations · 129 across the 57 of their papers we have counts for

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Showing 2012Show all

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math.DG2012

Homogeneous 4-dimensional Kaehler--Weyl Structures

M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1

Any pseudo-Hermitian or para-Hermitian manifold of dimension 4 admits a unique Kaehler-Weyl structure; this structure is locally conformally Kaehler if and only if the alternating…

math.DG2012★ 2 cited

Homogeneity of Lorentzian three-manifolds with recurrent curvature

E. Garcia-Rio, P. Gilkey, S. Nikcevic

k-Curvature homogeneous three-dimensional Walker metrics are described for k=0,1,2. This allows a complete description of locally homogeneous three-dimensional Walker metrics, show…

math.DG2012★ 2 cited

4-dimensional (para)-Kähler--Weyl structures

Peter Gilkey, Stana Nikcevic

We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kaehler--Weyl structure. We then use analytic continuation to pass from…