Brown-York mass and compactly supported conformal deformations of scalar curvature

DOI10.1007/s12220-016-9698-7zbMath1362.53053OpenAlexW2297300355MaRDI QIDQ522499

Wei Yuan

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-016-9698-7

zbMATH Keywords

rigidityBrown-York masscompactly supported conformal deformationnondecreasing scalar curvaturenonincreasing scalar curvature

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Rigidity results (53C24)

Related Items (3)

Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Conformal rigidity and non-rigidity of the scalar curvature on Riemannian manifolds ⋮ Deforming the scalar curvature of the de Sitter-Schwarzschild space

Cites Work

• On scalar curvature rigidity of vacuum static spaces
• Remarks on a scalar curvature rigidity theorem of Brendle and Marques
• A note on static spaces and related problems
• Deformations of the hemisphere that increase scalar curvature
• Scalar curvature rigidity of geodesic balls in \(S^n\)
• Rigidity and non-rigidity results on the sphere
• Proof of the positive mass theorem. II
• Deformations of the scalar curvature
• On the proof of the positive mass conjecture in general relativity
• Scalar curvature rigidity of asymptotically hyperbolic spin manifolds
• Scalar curvature and hammocks
• Scalar curvature rigidity for asymptotically locally hyperbolic manifolds
• Uniqueness and non-uniqueness of metrics with prescribed scalar and mean curvature on compact manifolds with boundary.
• A new proof of the positive energy theorem.
• Deforming the scalar curvature of the de Sitter-Schwarzschild space
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Differential equations on riemannian manifolds and their geometric applications
• Rigidity phenomena involving scalar curvature
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations
• Rigidity theorems on conformal class of compact manifolds with boundary
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