On a fully nonlinear Yamabe problem

2005/05/12 by Yuxin Ge, Guofang Wang, Ge, Yuxin +1 · 3 citations
Mathematics · #53C20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.math/0505257

openalex publication_date 2005/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the σ₂-Yamabe problem for a non locally conformally flat manifold of dimension n>8.

Citations

• Conformal geometry, contact geometry, and the calculus of variations

Cited by

• Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds
• Fully nonlinear prescribed curvature problems on closed manifolds with negative curvature
• The GJMS operators in geometry, analysis, and physics

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• A Local Method for Compact and Non-compact Yamabe Problems
• A priori estimates for the Yamabe problem in the non-locally conformally flat case