Publications by the researcher in collaboration with Eduardo García Río (36)

2023

  1. Corrigendum to “Three-dimensional Lorentzian homogeneous Ricci solitons”

    Israel Journal of Mathematics, Vol. 255, Núm. 2, pp. 975-984

  2. Homogeneous and curvature homogeneous Lorentzian critical metrics

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 153, Núm. 4, pp. 1272-1296

2022

  1. Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves

    Classical and Quantum Gravity, Vol. 39, Núm. 1

  2. Curvature homogeneous critical metrics in dimension three

    Journal of Mathematical Analysis and Applications, Vol. 514, Núm. 2

2021

  1. Critical metrics for all quadratic curvature functionals

    Bulletin of the London Mathematical Society, Vol. 53, Núm. 3, pp. 680-685

  2. Three-dimensional homogeneous critical metrics for quadratic curvature functionals

    Annali di Matematica Pura ed Applicata, Vol. 200, Núm. 1, pp. 363-378

2020

  1. On distinguished local coordinates for locally homogeneous affine surfaces

    Monatshefte fur Mathematik, Vol. 192, Núm. 1, pp. 65-74

  2. Solutions to the affine quasi-Einstein equation for homogeneous surfaces

    Advances in Geometry, Vol. 20, Núm. 3, pp. 413-432

2019

  1. Isotropic quasi-Einstein manifolds

    Classical and Quantum Gravity, Vol. 36, Núm. 24

2018

  1. A natural linear equation in affine geometry: The affine quasi-einstein equation

    Proceedings of the American Mathematical Society, Vol. 146, Núm. 8, pp. 3485-3497

  2. Half conformally flat generalized quasi-Einstein manifolds of metric signature (2, 2)

    International Journal of Mathematics, Vol. 29, Núm. 1

  3. Homogeneous affine surfaces: Affine killing vector fields and gradient ricci solitons

    Journal of the Mathematical Society of Japan, Vol. 70, Núm. 1, pp. 25-70

  4. The affine quasi-Einstein Equation for homogeneous surfaces

    Manuscripta Mathematica, Vol. 157, Núm. 1-2, pp. 279-294

  5. The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 148, Núm. 3, pp. 461-482

2016

  1. Four-dimensional neutral signature self-dual gradient Ricci solitons

    Indiana University Mathematics Journal, Vol. 65, Núm. 6, pp. 1921-1943

  2. Half conformally flat gradient Ricci almost solitons

    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 472, Núm. 2189

  3. Homogeneous affine surfaces: Moduli spaces

    Journal of Mathematical Analysis and Applications, Vol. 444, Núm. 2, pp. 1155-1184

  4. Local structure of self-dual gradient yamabe solitons

    Springer Proceedings in Mathematics and Statistics (Springer New York LLC), pp. 25-35

2014

  1. Locally conformally flat Lorentzian quasi-Einstein manifolds

    Monatshefte fur Mathematik, Vol. 173, Núm. 2, pp. 175-186

2013

  1. Homogeneous 4-Dimensional Kähler-Weyl Structures

    Results in Mathematics, Vol. 64, Núm. 3-4, pp. 357-369