The Yamabe problem for distributional curvature (Q6113050)

scientific article; zbMATH DE number 7723922

Language	Label	Description	Also known as
English	The Yamabe problem for distributional curvature	scientific article; zbMATH DE number 7723922

Statements

instance of

scholarly article

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title

The Yamabe problem for distributional curvature (English)

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author

Huaiyu Zhang

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published in

The Journal of Geometric Analysis

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publication date

8 August 2023

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zbMATH Keywords

distributional scalar curvature

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Yamabe problem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12220-023-01366-y

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cites work

Yamabe metrics on cylindrical manifolds

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The Yamabe problem on stratified spaces

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The Yamabe problem on Dirichlet spaces

0 references

Problèmes isoperimetriques et espaces de Sobolev

0 references

Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire

0 references

Q4398855

0 references

Generalized Riemannian spaces

0 references

Q2731895

0 references

A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature

0 references

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

0 references

Q4389910

0 references

On the structure of spaces with Ricci curvature bounded below. I

0 references

On the structure of spaces with Ricci curvature bounded below. II

0 references

On the structure of spaces with Ricci curvature bounded below. III

0 references

Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below

0 references

Lower bounds on Ricci curvature and quantitative behavior of singular sets

0 references

Generalized functions and distributional curvature of cosmic strings

0 references

Junction conditions for null hypersurfaces

0 references

Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

0 references

Dirac and Plateau billiards in domains with corners

0 references

Asymptotic Expansions of Solutions of the Yamabe Equation and the σk‐Yamabe Equation near Isolated Singular Points

0 references

Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space

0 references

Conformally prescribed scalar curvature on orbifolds

0 references

\(L^2\) curvature bounds on manifolds with bounded Ricci curvature

0 references

Weak scalar curvature lower bounds along Ricci flow

0 references

Removable singularity of positive mass theorem with continuous metrics

0 references

Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures

0 references

A positive mass theorem for Lipschitz metrics with small singular sets

0 references

Geometric Relativity

0 references

The positive mass theorem for manifolds with distributional curvature

0 references

The Yamabe problem

0 references

\(d_p\)-convergence and \(\epsilon\)-regularity theorems for entropy and scalar curvature lower bounds

0 references

Definition and stability of Lorentzian manifolds with distributional curvature

0 references

The nonlinear stability of rotationally symmetric spaces with low regularity

0 references

Positive scalar curvature with skeleton singularities

0 references

Q4052566

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

Isolated singularities of solutions to the Yamabe equation

0 references

Constant scalar curvature metrics with isolated singularities

0 references

Moduli Spaces of Singular Yamabe Metrics

0 references

Geometry of general hypersurfaces in spacetime: junction conditions

0 references

On the positive mass theorem for manifolds with corners

0 references

Pointwise lower scalar curvature bounds for \(C^0\) metrics via regularizing Ricci flow

0 references

Q5182807

0 references

Conformal deformation of a Riemannian metric to constant scalar curvature

0 references

The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation

0 references

Conformally flat manifolds, Kleinian groups and scalar curvature

0 references

Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.

0 references

Scalar curvature and singular metrics

0 references

Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature

0 references

The intrinsic flat distance between Riemannian manifolds and other integral current spaces

0 references

The use of generalized functions and distributions in general relativity

0 references

On the Geroch–Traschen class of metrics

0 references

A curvature-dimension condition for metric measure spaces

0 references

On the geometry of metric measure spaces. I

0 references

On the geometry of metric measure spaces. II

0 references

Q5542608

0 references

Q4765475

0 references

Distributional geometry in general relativity

0 references

Isolated Singularities of Solutions to the Yamabe Equation in Dimension 6

0 references

Q3275400

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Identifiers

zbMATH Open document ID

1520.53025

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Mathematics Subject Classification ID

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10.1007/S12220-023-01366-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:6113050