On the \(\sigma_2\)-scalar curvature

DOI10.4310/jdg/1271271793zbMath1207.53049OpenAlexW1541085055WikidataQ115171388 ScholiaQ115171388MaRDI QIDQ977607

Chang-Shou Lin, Guofang Wang, Yuxin Ge

Publication date: 22 June 2010

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1271271793

zbMATH Keywords

nonlinear elliptic PDEYamabe problemconformal quotient equationSchouten tensorcurvature equationspositive scalar curvature metric

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Global Riemannian geometry, including pinching (53C20) Variational methods for higher-order elliptic equations (35J35)

Related Items (10)

An almost Schur theorem on 4-dimensional manifolds ⋮ On conformally invariant equations on \(\mathbf R^n\) ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry ⋮ On conformally invariant equations on \(R^n\)-II. Exponential invariance ⋮ A new conformal invariant on 3-dimensional manifolds ⋮ Prescribed Schouten tensor in locally conformally flat manifolds ⋮ A conformally invariant gap theorem characterizing \(\mathbb{CP}^2\) via the Ricci flow ⋮ A note on a three-dimensional sphere theorem with integral curvature condition ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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