Prescribing Chern scalar curvatures on noncompact manifolds (Q6200747)

scientific article; zbMATH DE number 7806935

Language	Label	Description	Also known as
English	Prescribing Chern scalar curvatures on noncompact manifolds	scientific article; zbMATH DE number 7806935

Statements

instance of

scholarly article

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title

Prescribing Chern scalar curvatures on noncompact manifolds (English)

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published in

Journal of Differential Equations

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publication date

20 February 2024

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full work available at URL

https://arxiv.org/abs/2304.13975

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zbMATH Keywords

prescribed Chern scalar curvature problem

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Kazdan-Warner-type equation

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multiplicity of solutions

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MaRDI profile type

MaRDI publication profile

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cites work

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Conformal complete metrics with prescribed non-negative Gaussian curvature in \({\mathbb{R}}^ 2\)

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Vortices in holomorphic line bundles over closed Kähler manifolds

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Special metrics and stability for holomorphic bundles with global sections

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A note on Chern-Yamabe problem

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Surfaces with prescribed Gauss curvature

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Classification of solutions of some nonlinear elliptic equations

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Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)

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On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\)

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Conformal metrics with prescribed nonpositive Gaussian curvature on \(\mathbb{R}^2\)

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On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\)

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On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II

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An equivalence of scalar curvatures on Hermitian manifolds

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The prescribed Chern scalar curvature problem

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Q4136133

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Chern-Yamabe problem and Chern-Yamabe soliton

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Curvature functions for compact 2-manifolds

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Curvature functions for open 2-manifolds

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On the Chern-Yamabe flow

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Uniqueness of conformal metrics with prescribed total curvature in \(\mathbb{R}^2\)

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Vortex equation in holomorphic line bundle over complex manifold

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On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\)

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Q3336320

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Kobayashi–Hitchin correspondence for analytically stable bundles

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On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures

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Q5646042

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Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization

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The Hitchin-Kobayashi correspondence for holomorphic pairs over non-Kähler manifolds

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A class of Kazdan-Warner typed equations on non-compact Riemannian manifolds

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Q3275400

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Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree

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Analytically stable Higgs bundles on some non-Kähler manifolds

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Identifiers

arXiv ID

2304.13975

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DOI

10.1016/j.jde.2024.01.012

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6200747