3 citations · 5 across the 5 of their papers we have counts for
5 papers
Conformally Einstein Lorentzian Lie groups with Heisenberg symmetry
Esteban Calviño-Louzao, Eduardo Garcia-Rio, Ixchel Gutierrez-Rodriguez +1
We describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant Lorentzian metrics on semi-d…
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…
Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler
E. Calviño-Louzao, E. García-Río, P. Gilkey +2
Motivated by the construction of Bach flat neutral signature Riemannian extensions, we study the space of parallel trace free tensors of type on an affine surface. It is sh…
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.