A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs
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Publication:2136568
DOI10.1016/j.aim.2022.108365zbMath1505.53052arXiv2003.02875OpenAlexW4220707039WikidataQ115598690 ScholiaQ115598690MaRDI QIDQ2136568
Publication date: 11 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02875
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)
Related Items (5)
On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ A Liouville's theorem for some Monge-Ampère type equations ⋮ A note on Andrews inequalities ⋮ A Liouville theorem for Möbius invariant equations ⋮ On the σκ -Nirenberg problem
Cites Work
- Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality
- On curvature pinching of conic 2-spheres
- A generalized mass involving higher order symmetric functions of the curvature tensor
- A new mass for asymptotically flat manifolds
- Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities
- On the prescribing \(\sigma_2\) curvature equation on \(\mathbb S^4\)
- Singular sets of a class of locally conformally flat manifolds
- Removability of singularities for a class of fully nonlinear elliptic equations
- Schouten tensor and some topological properties
- On the Riemannian Penrose inequality in dimensions less than eight
- Conformally flat manifolds, Kleinian groups and scalar curvature
- On the proof of the positive mass conjecture in general relativity
- Scalar curvature rigidity of asymptotically hyperbolic spin manifolds
- Scalar curvature rigidity for asymptotically locally hyperbolic manifolds
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Asymptotically anti-de Sitter spaces
- A new proof of the positive energy theorem.
- The mass of asymptotically hyperbolic manifolds.
- Proof of the Riemannian Penrose inequality using the positive mass theorem.
- Chern's magic form and the Gauss-Bonnet-Chern mass
- Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem
- A fully nonlinear equation on four-manifolds with positive scalar curvature.
- 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.
- Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds
- Poincaré-Einstein metrics and the Schouten tensor.
- The mass of asymptotically hyperbolic Riemannian manifolds.
- Volume comparison and the \(\sigma_k\)-Yamabe problem
- A conformally invariant sphere theorem in four dimensions
- Conformal geometry, contact geometry, and the calculus of variations
- On a conformal gap and finiteness theorem for a class of four-manifolds
- Penrose type inequalities for asymptotically hyperbolic graphs
- \(\sigma_2\) Yamabe problem on conic 4-spheres
- A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
- A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
- The Yamabe problem for higher order curvatures
- Prescribing symmetric functions of the eigenvalues of the Ricci tensor
- Rigidity and positivity of mass for asymptotically hyperbolic manifolds
- Conformally invariant fully nonlinear elliptic equations and isolated singularities
- On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
- Classification of singular radial solutions to the \(\sigma_k\) Yamabe equation on annular domains
- The Gauss–Bonnet–Chern Mass of Conformally Flat Manifolds
- The isoperimetric inequality
- A fully nonlinear conformal flow on locally conformally flat manifolds
- Fully nonlinear equations on Riemannian manifolds with negative curvature
- On some conformally invariant fully nonlinear equations
- Conformally invariant Monge-Ampère equations: Global solutions
- On the Positive Mass, Penrose, an ZAS Inequalities in General Dimension
- Some properties of the Schouten tensor and applications to conformal geometry
- Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four
- The positive energy theorem for asymptotically anti-de Sitter spacetimes
- Convexity and singularities of curvature equations in conformal geometry
- Conformal metrics with prescribed curvature functions on manifolds with boundary
- The GBC mass for asymptotically hyperbolic manifolds
- Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
- A new variational characterization of three-dimensional space forms
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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