Convexity and singularities of curvature equations in conformal geometry

DOI10.1155/IMRN/2006/96890zbMath1132.53020arXivmath/0504066OpenAlexW2010735338WikidataQ125361437 ScholiaQ125361437MaRDI QIDQ5450642

Matthew J. Gursky, Jeff A. Viaclovsky

Publication date: 13 March 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504066

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs ⋮ A Classification of Isolated Singularities of Elliptic Monge‐Ampére Equations in Dimension Two ⋮ On conformally invariant equations on \(\mathbf R^n\) ⋮ Removability of singularities for a class of fully nonlinear elliptic equations ⋮ Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations ⋮ \(\sigma_2\) Yamabe problem on conic 4-spheres ⋮ Singular solutions to the \(\sigma_k\)-Yamabe equation with prescribed asymptotics ⋮ A fully nonlinear version of the Yamabe problem and a Harnack type inequality. ⋮ A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry ⋮ Degenerate conformally invariant fully nonlinear elliptic equations ⋮ Conformally invariant fully nonlinear elliptic equations and isolated singularities ⋮ On Harnack inequalities and singularities of admissible metrics in the Yamabe problem ⋮ The \(\sigma_2\) Yamabe problem on conic spheres. II: Boundary compactness of the moduli

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