Rigidity for critical metrics of the volume functional

DOI10.1002/mana.201700240zbMath1419.53037arXiv1706.07367OpenAlexW2963543782MaRDI QIDQ5378430

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Publication date: 29 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07367

zbMATH Keywords

geodesic ballspace formcritical metricsvolume functional

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

Geometric inequalities for critical metrics of the volume functional ⋮ Geometry of compact quasi-Einstein manifolds with boundary ⋮ Geometry of static perfect fluid space-time ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Compact quasi‐Einstein manifolds with boundary ⋮ Boundary topology and rigidity results for generalized \(( \lambda , n + m)\)-Einstein manifolds ⋮ On Einstein-type contact metric manifolds ⋮ Static perfect fluid space-time on compact manifolds ⋮ Paracontact metric \((\kappa, \mu)\)-manifold satisfying the Miao-Tam equation ⋮ Isoperimetric inequality and Weitzenböck type formula for critical metrics of the volume ⋮ On static manifolds and related critical spaces with cyclic parallel Ricci tensor ⋮ On static manifolds and related critical spaces with zero radial Weyl curvature ⋮ Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary

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