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math.DG2018
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…
math.DG2018
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…