4.4 Article

Three-dimensional homogeneous critical metrics for quadratic curvature functionals

Journal

ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 200, Issue 1, Pages 363-378

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10231-020-00999-y

Keywords

Quadratic curvature functional; Critical metric; Homogeneous space; Lie group

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

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