Four-dimensional homogeneous critical metrics for quadratic curvature functionals

2023/09/05 by Brozos-Vázquez, M., Caeiro-Oliveira, S., García-Río, E. +1
#53C20 #53C25 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.02108

Abstract

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

Related

• Critical metrics for the quadratic curvature functional on complete four-dimensional manifolds
• Some rigidity characterizations on critical metrics for quadratic curvature functionals
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• Critical metrics of the total scalar curvature functional on 4-manifolds
• Critical Metrics for Riemannian Curvature Functionals