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Three-dimensional homogeneous critical metrics for quadratic curvature functionals

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Abstract

We show the existence of non-Einstein homogeneous critical metrics for any quadratic curvature functional in dimension three.

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Authors and Affiliations

  1. Universidade da Coruña, Differential Geometry and Its Applications Research Group, Department of Mathematics, Escola Politécnica Superior, 15403, Ferrol, Spain

    M. Brozos-Vázquez

  2. Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    E. García-Río & S. Caeiro-Oliveira

Authors
  1. M. Brozos-Vázquez
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  2. E. García-Río
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  3. S. Caeiro-Oliveira
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Correspondence to E. García-Río.

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Supported by projects MTM2016-75897-P, and ED431C 2019/10 with FEDER Funds (Spain).

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Brozos-Vázquez, M., García-Río, E. & Caeiro-Oliveira, S. Three-dimensional homogeneous critical metrics for quadratic curvature functionals. Annali di Matematica 200, 363–378 (2021). https://doi.org/10.1007/s10231-020-00999-y

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  • DOI: https://doi.org/10.1007/s10231-020-00999-y

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