1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
Four-dimensional homogeneous critical metrics for quadratic curvature functionals
M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río +1
We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.
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…