Some uniformization problems for a fourth order conformal curvature
type: Item
instance of: scholarly article
title: Some uniformization problems for a fourth order conformal curvature
author: Sang Hoon Lee
published in: Journal of Functional Analysis
publication date: 2025-01-10T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C18
Mathematics Subject Classification ID: 35J91
zbMATH DE Number: 7965123
zbMATH Keywords: \(Q\)-curvature
zbMATH Keywords: \(T\)-curvature
zbMATH Keywords: Paneitz operator
zbMATH Keywords: uniformization theorem
MaRDI profile type: Publication
cites work: Explicit Functional Determinants in Four Dimensions
cites work: An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
cites work: Q3413423
cites work: Integral pinching results for manifolds with boundary
cites work: The zeta functional determinants on manifolds with boundary. I: The formula
cites work: The zeta functional determinants on manifolds with boundary. II: Extremal metrics and compactness of isospectral set
cites work: On the Chern-Gauss-Bonnet integral for conformal metrics on \(\mathbb{R}^4\)
cites work: Extremal metrics of zeta function determinants on 4-manifolds
cites work: Existence of conformal metrics with constant \(Q\)-curvature
cites work: The Yamabe problem on manifolds with boundary
cites work: Compactness properties for geometric fourth order elliptic equations with application to the \(Q\)-curvature flow
cites work: The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
cites work: The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE
cites work: A formal Riemannian structure on conformal classes and uniqueness for the \(\sigma_2\)-Yamabe problem
cites work: Riemannian manifolds with positive Yamabe invariant and Paneitz operator
cites work: Prescribed \(Q\)-curvature problem on closed 4-Riemannian manifolds in the null case
cites work: Q3084648
cites work: Lectures on the fourth-order \(Q\) curvature equation
cites work: The Nirenberg problem and its generalizations: a unified approach
cites work: The total Q-curvature, volume entropy and polynomial growth polyharmonic functions
cites work: The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\)
cites work: Deformations of \(Q\)-curvature. I
cites work: Deformations of \(Q\)-curvature. II.
cites work: Compactness of solutions to some geometric fourth-order equations
cites work: Conformal metrics with constant \(Q\)-curvature for manifolds with boundary
cites work: Constant t-curvature conformal metrics on 4-manifolds with boundary
cites work: An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics
cites work: Regularity of weak solutions to critical exponent variational equations
cites work: The isoperimetric inequality and \(Q\)-curvature
cites work: The Isoperimetric Inequality and Quasiconformal Maps on Manifolds with Finite Total Q-curvature
cites work: Integrability of scalar curvature and normal metric on conformally flat manifolds
cites work: The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds
cites work: Uniqueness and non-existence theorems for conformally invariant equations
cites work: The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior
DOI: 10.1016/J.JFA.2024.110791
description: scientific article; zbMATH DE number 7965123