Scalar curvature equation on \(S^n\). I: Topological conditions

DOI10.1016/j.jde.2008.04.011zbMath1162.53028OpenAlexW1974465102MaRDI QIDQ2378216

Min Ji

Publication date: 7 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.011

zbMATH Keywords

spheretopological conditionsprescribing scalar curvatureuniform conditions

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Conformal metrics on the unit ball with prescribed mean curvature ⋮ On the prescribed scalar curvature problem on \(S^{n}\). I: Asymptotic estimates and existence results ⋮ Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\) ⋮ The scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited ⋮ A perturbation result for a critical elliptic equation with zero Dirichlet boundary condition ⋮ The scalar curvature problem on four-dimensional manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prescribing Gaussian curvature on \(S^ 2\)
• The scalar-curvature problem on the standard three-dimensional sphere
• Conformal metrics with prescribed scalar curvature
• Prescribing Gaussian curvature on S 2
• Conformal deformations of metric on \({\mathcal S}\) 2
• Scalar curvatures on \(S^ n\)
• A perturbation result in prescribing scalar curvature on \(S^ n\)
• An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)
• Addendum to ``A perturbation result in prescribing scalar curvature on \(S^ n\)
• The scalar curvature equation on 2- and 3-spheres
• Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
• The scalar curvature problem on \(S^n\): An approach via Morse theory
• On symmetric scalar curvature on \(S^2\)
• Prescribing scalar curvature on \(S^ n\).
• On positive scalar curvature on \(S^2\)
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Prescribed scalar curvature on the \(n\)-sphere
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• The scalar-curvature problem on higher-dimensional spheres
• Curvature functions for compact 2-manifolds
• A Best Constant and the Gaussian Curvature
• Scalar Curvatures on S 2
• Conformal Metrics with Prescribed Gaussian Curvature on S 2
• Remarks on Prescribing Gauss Curvature
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
• A necessary and sufficient condition for the nirenberg problem
• ON NIRENBERG'S PROBLEM
• On the symmetric scalar curvature problem on \(S^n\)

This page was built for publication: Scalar curvature equation on \(S^n\). I: Topological conditions