Vanishing theorems for $p$-harmonic $\ell$-forms on Riemannian manifolds with a weighted Poincaré inequality (Q2034545)

scientific article; zbMATH DE number 7361892

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English	Vanishing theorems for $p$-harmonic $\ell$-forms on Riemannian manifolds with a weighted Poincaré inequality	scientific article; zbMATH DE number 7361892

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instance of

scholarly article

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title

Vanishing theorems for $p$-harmonic $\ell$-forms on Riemannian manifolds with a weighted Poincaré inequality (English)

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Differential Geometry and its Applications

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publication date

22 June 2021

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zbMATH Keywords

Poincaré inequality

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$p$-harmonic $\ell$-forms

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vanishing-type theorem

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.difgeo.2021.101741

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cites work

Refined Kato inequalities and conformal weights in Riemannian geometry

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$L^2$-harmonic 1-forms on submanifolds with finite total curvature

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$p$-harmonic 1-forms on complete manifolds

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$L^2$ harmonic 1-forms on submanifolds with weighted Poincaré inequality

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$L^p$ harmonic $1$-form on submanifold with weighted Poincaré inequality

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Refined Kato inequalities for harmonic fields on Kähler manifolds

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$p$-harmonic $\ell$-forms on Riemannian manifolds with a weighted Poincaré inequality

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Vanishing theorems for $L^2$ harmonic 1-forms on complete submanifolds in a Riemannian manifold

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$p$-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold

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Q5565773

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$p$-harmonic $l$-forms on complete noncompact submanifolds in sphere with flat normal bundle

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$L^p\;p$-harmonic 1-forms on submanifolds in a Hadamard manifold

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$L^{p}$ $p$-harmonic 1-forms on locally conformally flat Riemannian manifolds

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Results on a weighted Poincaré inequality of complete manifolds

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An Estimate on the Ricci Curvature of a Submanifold and Some Applications

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Geometric analysis

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Harmonic functions and the structure of complete manifolds

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Complete manifolds with positive spectrum

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STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARÉ INEQUALITY IN A RIEMANNIAN MANIFOLD

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Vanishing theorems for $L^{2}$ harmonic forms on complete Riemannian manifolds

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Harmonic $p$-forms on Hadamard manifolds with finite total curvature

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A note on $p$-harmonic 1-forms on complete manifolds

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Identifiers

zbMATH Open document ID

1468.53040

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Mathematics Subject Classification ID

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10.1016/J.DIFGEO.2021.101741

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Sitelinks

Mathematics(1 entry)

mardi Publication:2034545

Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality (Q2034545)

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Identifiers

Sitelinks

Mathematics(1 entry)