Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature Functionals
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Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature FunctionalsDate
2024-12Citation
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
Abstract
[Abstract] We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.
Keywords
Quadratic curvature functional
Homogeneous space
Critical metric
Ricci soliton
Homogeneous space
Critical metric
Ricci soliton
Description
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
