49 citations · 69 across the 16 of their papers we have counts for
16 papers
Four-dimensional Lorentzian algebraic Ricci solitons
Eduardo Garcia-Rio, Rosalia Rodriguez-Gigirey, Ramon Vazquez-Lorenzo
We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group adm…
Constructing Bach Flat Manifolds of signature using the modified Riemannian extension
E. Calviño-Louzao, E. García-Río, P. Gilkey +2
We use the modified Riemannian extension of an affine surface to construct Bach flat manifolds. As all these examples are VSI (vanishing scalar invariants), we shall construct scal…
Bach-flat isotropic gradient Ricci solitons
Esteban Calviño-Louzao, Eduardo García-Río, Ixchel Gutiérrez-Rodríguez +1
We construct examples of Bach-flat gradient Ricci solitons which are neither half conformally flat nor conformally Einstein.
Conformal geometry of non-reductive four-dimensional homogeneous spaces
E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez +1
We classify non-reductive four-dimensional homogeneous conformally Einstein manifolds.
Homogeneous Ricci almost solitons
E. Calviño-Louzao, M. Fernández-López, E. García-Río +1
It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product , where is a space of consta…
Geometric properties of generalized symmetric spaces
E. Calviño-Louzao, E. García-Río, M. E. Vázquez-Abal +1
It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature operators. As an applic…