The Gursky-Streets equations

DOI10.1007/s00208-020-02021-5zbMath1500.53043arXiv1707.04689OpenAlexW3036044714MaRDI QIDQ832471

Weiyong He

Publication date: 25 March 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04689

zbMATH Keywords

geodesic\(\sigma_2\)-Yamabe problemChang-Yang's \(\mathcal{F}\)-functionaluniform \(C^{1,1}\) regularity

Mathematics Subject Classification ID

Manifolds of metrics (especially Riemannian) (58D17) Conformal structures on manifolds (53C18)

Related Items (3)

On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ A Liouville theorem for Möbius invariant equations ⋮ On the σκ -Nirenberg problem

Cites Work

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• Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
• The Mabuchi geometry of finite energy classes
• The Dirichlet and the weighted metrics for the space of Kähler metrics
• Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance
• Geometry of Kähler metrics and foliations by holomorphic discs
• K-energy maps integrating Futaki invariants
• Some symplectic geometry on compact Kähler manifolds. I
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• The space of Kähler metrics.
• On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics
• A formal Riemannian structure on conformal classes and uniqueness for the \(\sigma_2\)-Yamabe problem
• An a priori estimate for a fully nonlinear equation on four-manifolds.
• A variational characterization for \(\sigma_{n/2}\)
• Conformal geometry, contact geometry, and the calculus of variations
• Geodesics in the space of Kähler metrics
• Approximation of weak geodesics and subharmonicity of Mabuchi energy
• The Monge-Ampère operator and geodesics in the space of Kähler potentials
• Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
• Nahm's equations and free-boundary problems
• The Space of Volume Forms
• Complex Monge-Ampere and Symplectic Manifolds
• A fully nonlinear conformal flow on locally conformally flat manifolds
• The inequality of Moser and Trudinger and applications to conformal geometry
• Some properties of the Schouten tensor and applications to conformal geometry
• Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics
• On the Space of Kähler Potentials
• An Inequality for Linear Transformations

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