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20172026
most citedFour-dimensional homogeneous critical metrics for quadratic curvature functionals

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math.DG2026

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.