Four-dimensional pp-wave Lie groups and harmonic curvature
Differential Geometry
2026-02-10 v1
Abstract
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.
Cite
@article{arxiv.2602.08650,
title = {Four-dimensional pp-wave Lie groups and harmonic curvature},
author = {Eduardo García-Río and Rosalía Rodríguez-Gigirey and Ramón Vázquez-Lorenzo},
journal= {arXiv preprint arXiv:2602.08650},
year = {2026}
}
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