7 citations · 9 across the 4 of their papers we have counts for
4 papers
Geometric Realizations of para-Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian manifold. This requires e…
Osserman and conformally Osserman manifolds with warped and twisted product structure
M. Brozos-Vazquez, E. Garcia-Rio, R. Vazquez-Lorenzo
We characterize Osserman and conformally Osserman Riemannian manifolds with the local structure of a warped product. By means of this approach we analyze the twisted product struct…
Four-dimensional Osserman metrics of neutral signature
E. Garcia-Rio, P. Gilkey, M. E. Vazquez-Abal +1
In the algebraic context, we show that null Osserman, spacelike Osserman, and timelike Osserman are equivalent conditions for a model of signature (2,2). We also classify the null…
Examples of signature (2,2) manifolds with commuting curvature operators
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
We exhibit Walker manifolds of signature (2,2) with various commutativity properties for the Ricci operator, the skew-symmetric curvature operator, and the Jacobi operator. If the…