17 citations · 143 across the 69 of their papers we have counts for
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The affine quasi-Einstein Equation for homogeneous surfaces
Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey +1
We study the affine quasi-Einstein Equation for homogeneous surfaces. This gives rise through the modified Riemannian extension to new half conformally flat generalized quasi-Einst…
The geometry of locally symmetric affine surfaces
D. D'Ascanio, P. Gilkey, P. Pisani
We examine the local geometry of affine surfaces which are locally symmetric. There are 6 non-isomorphic local geometries. We realize these examples as Type A, Type B, and Type C g…
A natural linear equation in affine geometry: the affine quasi-Einstein equation
Miguel Brozos Vázquez, Eduardo García Río, Peter Gilkey +1
We study the affine quasi-Einstein equation, a second order linear homogeneous equation, which is invariantly defined on any affine manifold. We prove that the space of solutions i…
Half conformally flat generalized quasi-Einstein manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey +1
We provide classification results for and examples of half conformally flat generalized quasi Einstein manifolds of signature . This analysis leads to a natural equation in…