Rigidity and non-rigidity results on the sphere

DOI10.4310/CAG.2006.v14.n1.a4zbMath1119.53029OpenAlexW2329975967MaRDI QIDQ871739

Feng Bo Hang, Xiaodong Wang

Publication date: 20 March 2007

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2006.v14.n1.a4

zbMATH Keywords

scalar curvatureRigiditymetric deformations

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

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On scalar curvature rigidity of vacuum static spaces ⋮ The size of isoperimetric surfaces in $3$-manifolds and a rigidity result for the upper hemisphere ⋮ Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Rigidity of Hawking mass for surfaces in three manifolds ⋮ Deformations of the hemisphere that increase scalar curvature ⋮ Conformal rigidity of the hemispheres \({{\text S}^4_+}\) and \({{\text S}^6_+}\) ⋮ Gelfand problem and hemisphere rigidity ⋮ Covariant vs contravariant methods in differential geometry ⋮ Uniqueness of the mean field equation and rigidity of Hawking mass ⋮ Conformal rigidity and non-rigidity of the scalar curvature on Riemannian manifolds ⋮ Deforming the scalar curvature of the de Sitter-Schwarzschild space ⋮ Brown-York mass and compactly supported conformal deformations of scalar curvature ⋮ Rigidity theorems for compact manifolds with boundary and positive Ricci curvature ⋮ Rigidity theorems on conformal class of compact manifolds with boundary

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