Critical metrics for all quadratic curvature functionals

DOI10.1112/blms.12448zbMath1471.58016OpenAlexW3124324845MaRDI QIDQ5006381

Eduardo García-Río, S. Caeiro-Oliveira, Miguel Brozos-Vázquez

Publication date: 13 August 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12448

zbMATH Keywords

Einstein manifoldcritical metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Critical metrics (58E11)

Related Items (3)

Conformal Geometry of Semi-Direct Extensions of the Heisenberg Group ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ Unnamed Item

Cites Work

• A variational characterization of flat spaces in dimension three
• Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds
• Some rigidity results on critical metrics for quadratic functionals
• A note on extremal metrics of non-constant scalar curvature
• The Sasaki Cone and Extremal Sasakian Metrics
• A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
• Semi-Riemannian Cones
• Critical Metrics for Riemannian Curvature Functionals
• Quelques formules de variation pour une structure riemannienne
• A new variational characterization of three-dimensional space forms

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