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Showing 2011 · math.DGShow all
3 papers · 2 filters
math.DG2011★ 11 cited
Equivalence between the Osserman condition and the Rakić duality principle in dimension four
Miguel Brozos-Vázquez, Eugenio Merino
We show that 4-dimensional Riemannian manifolds which satisfy the Rakić duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are constant), thus both conditi…
math.DG2011★ 1 cited
Locally Conformally Flat Lorentzian Gradient Ricci Solitons
M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function i…
math.DG2011★ 2 cited
The structure of the space of affine Kaehler curvature tensors as a complex module
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic
We use results of Matzeu and Nikcevic to decompose the space of affine Kaehler curvature tensors as a direct sum of irreducible modules in the complex setting