4 papers · 1 filter
Four-dimensional pp-wave Lie groups and harmonic curvature
Eduardo García-Río, Rosalía Rodríguez-Gigirey, Ramón Vázquez-Lorenzo
We determine all four-dimensional Lie groups which have harmonic curvature. As a consequence, a description of four-dimensional pp-wave Lie groups is obtained.
Conformally weighted Einstein manifolds: the uniqueness problem
Miguel Brozos-Vázquez, Eduardo García-Río, Diego Mojón-Álvarez
We discuss smooth metric measure spaces admitting two weighted Einstein representatives of the same weighted conformal class. First, we describe the local geometries of such manifo…
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…