
EDUARDO
GARCIA RIO
Catedrático de universidade
Publicacións (135)
2022
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Four-Dimensional Homogeneous Generalizations of Einstein Metrics
Abel Symposia
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Ricci solitons on four-dimensional Lorentzian Lie groups
Analysis and Mathematical Physics, Vol. 12, Núm. 2
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Homogeneous four-manifolds with half-harmonic Weyl curvature tensor
Forum Mathematicum, Vol. 34, Núm. 6, pp. 1497-1505
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Curvature homogeneous critical metrics in dimension three
Journal of Mathematical Analysis and Applications, Vol. 514, Núm. 2
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Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves
Classical and Quantum Gravity, Vol. 39, Núm. 1
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Corrigendum to “Three-dimensional Lorentzian homogeneous Ricci solitons”
Israel Journal of Mathematics
2021
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Four-dimensional homogeneous Kähler Ricci solitons
Contemporary Mathematics
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Three-dimensional homogeneous critical metrics for quadratic curvature functionals
Annali di Matematica Pura ed Applicata, Vol. 200, Núm. 1, pp. 363-378
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Locally conformally flat Kähler and para-Kähler manifolds
Annals of Global Analysis and Geometry, Vol. 59, Núm. 4, pp. 483-500
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Homogeneous generalized Einstein manifolds in dimension four
Mathematical Methods in the Applied Sciences, Vol. 44, Núm. 18, pp. 14316-14327
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Homogeneous conformal c-spaces in dimension four
Osaka Journal of Mathematics, Vol. 58, Núm. 2, pp. 413-433
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Critical metrics for all quadratic curvature functionals
Bulletin of the London Mathematical Society, Vol. 53, Núm. 3, pp. 680-685
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Aspects of differential geometry v
Synthesis Lectures on Mathematics and Statistics, Vol. 13, Núm. 3, pp. 1-156
2020
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Solutions to the affine quasi-Einstein equation for homogeneous surfaces
Advances in Geometry, Vol. 20, Núm. 3, pp. 413-432
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On distinguished local coordinates for locally homogeneous affine surfaces
Monatshefte fur Mathematik, Vol. 192, Núm. 1, pp. 65-74
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Four-dimensional homogeneous manifolds satisfying some einstein-like conditions
Kodai Mathematical Journal, Vol. 43, Núm. 3, pp. 465-488
2019
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Isotropic quasi-Einstein manifolds
Classical and Quantum Gravity, Vol. 36, Núm. 24
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Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension
Journal of Mathematical Physics, Vol. 60, Núm. 1
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Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds
Journal des Mathematiques Pures et Appliquees, Vol. 130, pp. 347-374
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Aspects of Differential Geometry IV
Synthesis Lectures on Mathematics and Statistics, Vol. 11, Núm. 2, pp. 1-167