Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature Functionals

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Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature FunctionalsFecha
2024-12Cita bibliográfica
M. 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/9219
Resumen
[Abstract] We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.
Palabras clave
Quadratic curvature functional
Homogeneous space
Critical metric
Ricci soliton
Homogeneous space
Critical metric
Ricci soliton
Descripción
First published in Transactions of the American Mathematical Society in Volume 377, Number 12, December 2024, published by American Mathematical Society. © 2024 American Mathematical Society.
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Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/
ISSN
1088-6850