The Yamabe problem for distributional curvature
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Publication:6113050
DOI10.1007/s12220-023-01366-yzbMath1520.53025OpenAlexW4384499085MaRDI QIDQ6113050
Publication date: 8 August 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-023-01366-y
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)
Cites Work
- On the positive mass theorem for manifolds with corners
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- The Yamabe problem on stratified spaces
- The intrinsic flat distance between Riemannian manifolds and other integral current spaces
- A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
- Distributional geometry in general relativity
- A curvature-dimension condition for metric measure spaces
- Isolated singularities of solutions to the Yamabe equation
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Problèmes isoperimetriques et espaces de Sobolev
- On the structure of spaces with Ricci curvature bounded below. I
- On the structure of spaces with Ricci curvature bounded below. II
- On the structure of spaces with Ricci curvature bounded below. III
- Scalar curvature and singular metrics
- Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
- Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
- Lower bounds on Ricci curvature and quantitative behavior of singular sets
- Constant scalar curvature metrics with isolated singularities
- Pointwise lower scalar curvature bounds for \(C^0\) metrics via regularizing Ricci flow
- Removable singularity of positive mass theorem with continuous metrics
- \(L^2\) curvature bounds on manifolds with bounded Ricci curvature
- Dirac and Plateau billiards in domains with corners
- The nonlinear stability of rotationally symmetric spaces with low regularity
- The positive mass theorem for manifolds with distributional curvature
- Ricci curvature for metric-measure spaces via optimal transport
- Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space
- Positive scalar curvature with skeleton singularities
- Definition and stability of Lorentzian manifolds with distributional curvature
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Yamabe metrics on cylindrical manifolds
- Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below
- Conformally prescribed scalar curvature on orbifolds
- A positive mass theorem for Lipschitz metrics with small singular sets
- Generalized Riemannian spaces
- Geometry of general hypersurfaces in spacetime: junction conditions
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- On the Geroch–Traschen class of metrics
- The Yamabe problem
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Moduli Spaces of Singular Yamabe Metrics
- Generalized functions and distributional curvature of cosmic strings
- Asymptotic Expansions of Solutions of the Yamabe Equation and the σk‐Yamabe Equation near Isolated Singular Points
- Isolated Singularities of Solutions to the Yamabe Equation in Dimension 6
- Geometric Relativity
- The Yamabe problem on Dirichlet spaces
- The use of generalized functions and distributions in general relativity
- Junction conditions for null hypersurfaces
- \(d_p\)-convergence and \(\epsilon\)-regularity theorems for entropy and scalar curvature lower bounds
- Weak scalar curvature lower bounds along Ricci flow
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