Constant \(\sigma_k\)-curvature metrics with Delaunay type ends

DOI10.1016/j.aim.2012.02.007zbMath1266.58019arXiv1008.0490OpenAlexW1970008016MaRDI QIDQ411638

Lorenzo Mazzieri, Antonio Segatti

Publication date: 30 April 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0490

zbMATH Keywords

Yamabe problemnonlinear elliptic equationconformal geometryDelaunay-type solution

Mathematics Subject Classification ID

Related Items (4)

On conformally invariant equations on \(\mathbf R^n\) ⋮ Singular solutions to the \(\sigma_k\)-Yamabe equation with prescribed asymptotics ⋮ The \(\sigma_2\) Yamabe problem on conic spheres. II: Boundary compactness of the moduli ⋮ Connected sum construction of constant \(Q\)-curvature manifolds in higher dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
• Variational status of a class of fully nonlinear curvature prescription problems
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• An a priori estimate for a fully nonlinear equation on four-manifolds.
• Constant scalar curvature metrics on connected sums
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• Connected sum constructions for constant scalar curvature metrics
• Connected sum construction for \(\sigma_k\)-Yamabe metrics
• Constant scalar curvature metrics with isolated singularities
• The Yamabe problem for higher order curvatures
• Prescribing symmetric functions of the eigenvalues of the Ricci tensor
• Classification of singular radial solutions to the \(\sigma_k\) Yamabe equation on annular domains
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• A fully nonlinear conformal flow on locally conformally flat manifolds
• On some conformally invariant fully nonlinear equations

This page was built for publication: Constant \(\sigma_k\)-curvature metrics with Delaunay type ends