On scalar curvature rigidity of vacuum static spaces

DOI10.1007/s00208-015-1302-0zbMath1353.53052arXiv1412.1860OpenAlexW1903976094MaRDI QIDQ303607

Jie Qing, Wei Yuan

Publication date: 22 August 2016

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

Full work available at URL: https://arxiv.org/abs/1412.1860

zbMATH Keywords

scalar curvature rigiditylapse functionlocal scalar curvature rigidityvacuum static space

Mathematics Subject Classification ID

Rigidity results (53C24)

Related Items (16)

STATIC AND RELATED CRITICAL SPACES WITH HARMONIC CURVATURE AND THREE RICCI EIGENVALUES ⋮ Brown-York mass and positive scalar curvature I: First eigenvalue problem and its applications ⋮ Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Volume comparison with respect to scalar curvature ⋮ Deformation of the weighted scalar curvature ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Static potentials and area minimizing hypersurfaces ⋮ Conformal rigidity and non-rigidity of the scalar curvature on Riemannian manifolds ⋮ Deforming the scalar curvature of the de Sitter-Schwarzschild space ⋮ Deformations of \(Q\)-curvature. I ⋮ Four-dimensional static and related critical spaces with harmonic curvature ⋮ Static perfect fluid space-time on compact manifolds ⋮ Brown-York mass and compactly supported conformal deformations of scalar curvature ⋮ Unnamed Item ⋮ Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equations ⋮ Critical metrics and curvature of metrics with unit volume or unit area of the boundary

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