Rigidity Theorem for Integral Pinched Static Manifolds and Related Critical Spaces (Q6489352)

scientific article; zbMATH DE number 7835141

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English	Rigidity Theorem for Integral Pinched Static Manifolds and Related Critical Spaces	scientific article; zbMATH DE number 7835141

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instance of

scholarly article

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title

Rigidity Theorem for Integral Pinched Static Manifolds and Related Critical Spaces (English)

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The Journal of Geometric Analysis

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publication date

21 April 2024

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MaRDI profile type

MaRDI publication profile

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cites work

On static three-manifolds with positive scalar curvature

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On critical point equation of compact manifolds with zero radial Weyl curvature

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Besse conjecture for compact manifolds with pinched curvature

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On static manifolds and related critical spaces with zero radial Weyl curvature

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On static manifolds and related critical spaces with cyclic parallel Ricci tensor

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Volume functional of compact 4-manifolds with a prescribed boundary metric

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Critical metrics of the volume functional on manifolds with boundary

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Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary

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Rigidity for critical metrics of the volume functional

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Critical metrics of the volume functional on compact three-manifolds with smooth boundary

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Q4720334

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Complete gradient shrinking Ricci solitons with pinched curvature

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Integral pinched shrinking Ricci solitons

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The Yamabe problem on manifolds with boundary

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Conformally flat Riemannian manifolds with finite \(L^p\)-norm curvature

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Einstein manifolds with finite \(L^p\)-norm of the Weyl curvature

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Some \(L^p\) rigidity results for complete manifolds with harmonic curvature

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Q4764252

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Critical metrics of the volume functional on three‐dimensional manifolds

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Effective \(L_p\) pinching for the concircular curvature

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Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant

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Integral pinched gradient shrinking \(\rho\)-Einstein solitons

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Rigidity of Riemannian manifolds with positive scalar curvature

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Q5001903

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Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature

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A differential equation arising from scalar curvature function

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A decomposition of the space \(\mathcal M\) of Riemannian metrics on a manifold

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Sur la géométrie d'une généralisation de l'équation différentielle d'Obata

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A note on critical point metrics of the total scalar curvature functional

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Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds

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On the volume functional of compact manifolds with boundary with constant scalar curvature

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Einstein and conformally flat critical metrics of the volume functional

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A note on static spaces and related problems

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Q4172592

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Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary

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Positive Einstein metrics with small \(L^{n/2}\)-norm of the Weyl tensor

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\(L^p\) Ricci curvature pinching theorems for conformally flat Riemannian manifolds

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Gap theorems on critical point equation of the total scalar curvature with divergence-free Bach tensor

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Identifiers

DOI

10.1007/s12220-024-01603-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6489352