Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds (Q6629546)

scientific article; zbMATH DE number 7935784

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English	Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds	scientific article; zbMATH DE number 7935784

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instance of

scholarly article

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title

Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds (English)

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30 October 2024

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zbMATH Keywords

uniqueness result

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Q-curvature

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Einstein manifolds

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MaRDI profile type

Publication

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cites work

Nonuniqueness of Conformal Metrics With Constant Q-curvature

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Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations

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Differential operators cononically associated to a conformal structure.

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Sharp Inequalities, the Functional Determinant, and the Complementary Series

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Global existence and convergence for a higher order flow in conformal geometry

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Extremal metrics of zeta function determinants on 4-manifolds

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Paneitz-type operators and applications

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Existence of conformal metrics with constant $Q$-curvature

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Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth

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Mountain pass critical points for Paneitz-Branson operators.

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The Ambient Metric (AM-178)

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Juhl’s formulae for GJMS operators and $Q$-curvatures

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Global and local behavior of positive solutions of nonlinear elliptic equations

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Laplacian operators and $Q$-curvature on conformally Einstein manifolds

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Conformally Invariant Powers of the Laplacian, I: Existence

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Riemannian manifolds with positive Yamabe invariant and Paneitz operator

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A strong maximum principle for the Paneitz operator and a non-local flow for the $\mathcal Q$-curvature

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Sign of Green's Function of Paneitz Operators and theQCurvature

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$Q$ curvature on a class of 3-manifolds

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Q-Curvature on a Class of Manifolds with Dimension at Least 5

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Compactness and global estimates for the geometric Paneitz equation in high dimensions

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Explicit formulas for GJMS-operators and $Q$-curvatures

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A compactness theorem on Branson's $Q$-curvature equation

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The $Q$-curvature on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_M QdV_g = 8\pi^2$

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Compactness of conformal metrics with constant $Q$-curvature. I

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A classification of solutions of a conformally invariant fourth order equation in $\mathbb{R}^n$

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Compactness of solutions to some geometric fourth-order equations

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The conjectures on conformal transformations of Riemannian manifolds

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A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)

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Compactness for conformal metrics with constant $Q$ curvature on locally conformally flat manifolds

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On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds

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Conformal geometry, contact geometry, and the calculus of variations

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Non-compactness of the prescribed $Q$-curvature problem in large dimensions

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The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11118-023-10117-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:6629546