4 citations · 4 across the 1 of their papers we have counts for
6 papers
Geodesic completeness and the quasi-Einstein equation for locally homogeneous affine surfaces
Peter B. Gilkey, Xabier Valle-Regueiro
Let be a Type affine surface. We show that is linearly strongly projectively flat. We use the quasi-Einstein equation together with the co…
Isotropic quasi-Einstein manifolds
Miguel Brozos-Vázquez, Eduardo García-Río, Xabier Valle-Regueiro
We investigate the local structure of four-dimensional Lorentzian quasi-Einstein manifolds under conditions on the Weyl tensor. We show that if the Weyl tensor is harmonic and the…
Affine Killing complete and geodesically complete homogeneous affine surfaces
P. B. Gilkey, J. H. Park, X. Valle-Regueiro
An affine manifold is said to be geodesically complete if all affine geodesics extend for all time. It is said to be affine Killing complete if the integral curves for any affine K…
Solutions to the affine quasi-Einstein equation for homogeneous surfaces
M. Brozos-Vázquez, E. García-Río, P. Gilkey +1
We examine the space of solutions to the affine quasi--Einstein equation in the context of homogeneous surfaces. As these spaces can be used to create gradient Yamabe solitions, co…
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…
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…