Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds (Q4684391)

scientific article; zbMATH DE number 6945554

Language	Label	Description	Also known as
English	Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds	scientific article; zbMATH DE number 6945554

Statements

instance of

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28 September 2018

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full work available at URL

https://arxiv.org/abs/1704.04925

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zbMATH Keywords

$p$-harmonic functions

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flat normal bundle

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locally conformally flat

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weighted $p$-Laplacian

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weighted Poincaré inequality

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.DG

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cites work

Refined Kato inequalities and conformal weights in Riemannian geometry

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An exact sequence in $L^2$-cohomology

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Q4424457

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Liouville properties for 𝑝-harmonic maps with finite 𝑞-energy

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$p$-harmonic 1-forms on complete manifolds

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Harmonic forms on manifolds 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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Weighted $p$-harmonic functions and rigidity of smooth metric measure spaces

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

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Manifolds with a weighted Poincaré inequality

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On removable singularities of p-harmonic maps

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula

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Results on a weighted Poincaré inequality of complete manifolds

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On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold

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Geometric Analysis

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Complete manifolds with positive spectrum

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Weighted Poincaré inequality and rigidity of complete manifolds

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On the structure of submanifolds in Euclidean space with flat normal bundle

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On the structure of conformally flat Riemannian manifolds

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$L^2$ harmonic forms on submanifolds in a Hadamard manifold

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On the structure of submanifolds in the hyperbolic space

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The inverse mean curvature flow and $p$-harmonic functions

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A Liouville type theorem for $p$-harmonic maps

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Q4838145

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$L^p$ harmonic $1$-forms and first eigenvalue of a stable minimal hypersurface

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Sharp gradient estimate and spectral rigidity for $p$-Laplacian

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$L^ 2$ harmonic forms and stability of minimal hypersurfaces

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Regularity for a more general class of quasilinear equations

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

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Vanishing Theorems for Conformally Compact Manifolds

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On the $L^2$-cohomology of a convex cocompact hyperbolic manifold

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A Note on <i>p</i>-Harmonic 1-Forms on Complete Manifolds

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Harmonic two-forms on manifolds with non-negative isotropic curvature

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$L ^{2}$-harmonic forms and stable hypersurfaces in space forms

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Rigidity of complete minimal hypersurfaces in the Euclidean space

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Identifiers

zbMATH Open document ID

1398.53052

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4684391