Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary

DOI10.1007/s10711-018-0391-9zbMath1422.58003OpenAlexW2893826308WikidataQ129201931 ScholiaQ129201931MaRDI QIDQ2312737

Weimin Sheng, Li-Sheng Wang

Publication date: 17 July 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-018-0391-9

zbMATH Keywords

space formcritical metricsvolume functionalcyclic parallel Ricci tensor

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)

Geometric inequalities for critical metrics of the volume functional ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Paracontact metric \((\kappa, \mu)\)-manifold satisfying the Miao-Tam equation ⋮ On static manifolds and related critical spaces with cyclic parallel Ricci tensor

Cites Work

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• Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
• Some rigidity results on critical metrics for quadratic functionals
• On the volume functional of compact manifolds with boundary with constant scalar curvature
• On a conformally invariant functional of the space of Riemannian metrics
• Ricci deformation of the metric on a Riemannian manifold
• Einstein-like manifolds which are not Einstein
• Einstein manifolds
• Einstein and conformally flat critical metrics of the volume functional
• Critical metrics of the volume functional on manifolds with boundary

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