19 citations
- Universidade de São PauloBR9 papers
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math.DG2016★ 1 cited
Homogeneous affine surfaces: Moduli spaces
Miguel Brozos-Vázquez, Eduardo García-Río, P. Gilkey
We analyze the moduli space of non-flat homogeneous affine connections on surfaces. For Type surfaces, we write down complete sets of invariants that determine the lo…
math.DG2015★ 8 cited
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…
math.DG2014★ 10 cited
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…