49 citations · 183 across the 35 of their papers we have counts for
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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…
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…
Locally conformally flat Lorentzian quasi-Einstein manifolds
M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández
We show that locally conformally flat quasi-Einstein manifolds are globally conformally equivalent to a space form or locally isometric to a -wave or a warped product.