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Four-Dimensional Homogeneous Critical Metrics for Quadratic Curvature Functionals

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URI: http://hdl.handle.net/2183/39757
DOI: https://doi.org/10.1090/tran/9219

Publication date

2024-12

Authors

Caeiro-Oliveira, Sandro
Garcia-Rio, Eduardo
Vázquez-Lorenzo, Ramón

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Bibliographic citation

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

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Abstract

[Abstract] We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.

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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.

Keywords

Quadratic curvature functional Homogeneous space Critical metric Ricci soliton

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https://doi.org/10.1090/tran/9219

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Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/

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Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/

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