Bach-flat critical metrics for quadratic curvature functionals

DOI10.1007/s10455-018-9606-4zbMath1403.58006OpenAlexW2790711905WikidataQ126015457 ScholiaQ126015457MaRDI QIDQ1994109

Weimin Sheng, Li-Sheng Wang

Publication date: 1 November 2018

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-018-9606-4

zbMATH Keywords

quadratic functionalscritical pointsEinstein metricspace of Riemannian metricsBach-flatRiemannian functionals

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Critical metrics (58E11) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (4)

Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ Unnamed Item ⋮ Rigidity of Riemannian manifolds with vanishing generalized Bach tensor

Cites Work

• Unnamed Item
• Critical metrics of the Schouten functional
• Some rigidity results on critical metrics for quadratic functionals
• Ricci deformation of the metric on a Riemannian manifold
• Rigidity and stability of Einstein metrics for quadratic curvature functionals
• Einstein manifolds
• A new variational characterization of 𝑛-dimensional space forms
• A new variational characterization of three-dimensional space forms

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