31 citations · 146 across the 35 of their papers we have counts for
35 papers
Homothety Curvature Homogeneity and Homothety Homogeneity
E. Garcia-Rio, P. Gilkey, S. Nikcevic
We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanzurova are genuine generalizations of the ordinar…
Homothety Curvature Homogeneity
E. García-Río, P. Gilkey, S. Nikčević
We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanžurová are genuine generalizations of the ordinar…
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…
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…
(para)-Kähler Weyl structures
P. Gilkey, S. Nikcevic
We work in both the complex and in the para-complex categories and examine (para)-Kähler Weyl structures in both the geometric and in the algebraic settings. The higher dimensional…
Kähler-Weyl manifolds of dimension 4
P. Gilkey, S. Nikcevic
We determine the space of algebraic pseudo-Hermitian Kähler-Weyl curvature tensors and the space of para-Hermitian Kähler-Weyl curvature tensors in dimension 4 and show that every…