On static manifolds and related critical spaces with cyclic parallel Ricci tensor

DOI10.1515/advgeom-2020-0021zbMath1479.53054arXiv1811.04447OpenAlexW3137254907MaRDI QIDQ2046818

Yanyan Li

Publication date: 19 August 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04447

zbMATH Keywords

critical metricsvolume functionalcyclic parallel Ricci tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Integral geometry (53C65) Rigidity results (53C24)

Cites Work

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• Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
• A note on static spaces and related problems
• Total scalar curvature and harmonic curvature
• Erratum to: ``Total scalar curvature and harmonic curvature
• On the volume functional of compact manifolds with boundary with constant scalar curvature
• Sur la géométrie d'une généralisation de l'équation différentielle d'Obata
• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• A differential equation arising from scalar curvature function
• On compact Riemannian manifolds with harmonic curvature
• Deformations of the scalar curvature
• Einstein-like manifolds which are not Einstein
• On static three-manifolds with positive scalar curvature
• Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
• Critical metrics of the volume functional on compact three-manifolds with smooth boundary
• Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
• On critical point equation of compact manifolds with zero radial Weyl curvature
• Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE
• Einstein and conformally flat critical metrics of the volume functional
• Critical metrics of the volume functional on manifolds with boundary
• Rigidity for critical metrics of the volume functional

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