10 citations · 36 across the 8 of their papers we have counts for
8 papers
Half conformally flat gradient Ricci almost solitons
M. Brozos-Vázquez, E. García-Río, X. Valle-Regueiro
The local structure of half conformally flat gradient Ricci almost solitons is investigated, showing that they are locally conformally flat in a neighborhood of any point where the…
Homogeneous affine surfaces: affine Killing vector fields and Gradient Ricci solitons
M. Brozos-Vázquez, E. García-Río, P. Gilkey
The homogeneous affine surfaces have been classified by Opozda. They may be grouped into 3 families, which are not disjoint. The connections which arise as the Levi-Civita connecti…
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
M. Brozos-Vázquez, E. García-Río, P. Gilkey +1
We describe the structure of the Ricci tensor on a locally homogeneous Lorentzian gradient Ricci soliton. In the non-steady case, we show the soliton is rigid in dimensions three a…
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.
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
Compact Osserman manifolds with neutral metric
M. Brozos-Vazquez, E. Garcia-Rio, P. Gilkey +1
It is shown that if a compact four-dimensional manifold with metric of neutral signature is Jordan-Osserman, then it is either of constant sectional curvature or Ricci flat.