Brozos-Vázquez, MiguelCaeiro-Oliveira, SandroGarcia-Rio, EduardoVázquez-Lorenzo, Ramón2024-10-242024-10-242024-12M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río and R. Vázquez-Lorenzo, Four-dimensional homogeneous critical metrics for quadratic curvature functionals. Trans. Amer. Math. Soc. 377 (2024), 8563-8604. DOI: 10.1090/tran/92191088-6850http://hdl.handle.net/2183/39757First published in Transactions of the American Mathematical Society in Volume 377, Number 12, December 2024, published by American Mathematical Society. © 2024 American Mathematical Society.[Abstract] We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.engAttribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/http://creativecommons.org/licenses/by-nc-nd/3.0/es/Quadratic curvature functionalHomogeneous spaceCritical metricRicci solitonjournal articleopen accesshttps://doi.org/10.1090/tran/9219