harmonic 1-forms on hypersurfaces with finite index (Q6171786)

scientific article; zbMATH DE number 7727426

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English	harmonic 1-forms on hypersurfaces with finite index	scientific article; zbMATH DE number 7727426

Statements

instance of

scholarly article

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title

harmonic 1-forms on hypersurfaces with finite index (English)

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Glasgow Mathematical Journal

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publication date

16 August 2023

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zbMATH Keywords

$L^p$ harmonic 1-form

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hypersurfaces

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weighted Poincaré inequality

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1017/s0017089522000313

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cites work

Refined Kato inequalities and conformal weights in Riemannian geometry

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$L^2$-cohomology and Sobolev inequalities

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

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

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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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$L^p$ harmonic 1-forms on minimal hypersurfaces with finite index

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Stable minimal hypersurfaces in a Riemannian manifold with pinched negative sectional curvature

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

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On complete minimal surfaces with finite Morse index in three manifolds

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$L^2$ harmonic 1-forms on complete submanifolds in Euclidean space

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Integrals of subharmonic functions on manifolds of nonnegative curvature

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Harmonic forms on noncompact Riemannian and Kaehler manifolds

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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Operator $\Delta$-aK on surfaces

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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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$L^ p$ and mean value properties of subharmonic functions on Riemannian manifolds

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Complete manifolds with positive spectrum

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

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Q4218995

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Stability of minimal hypersurfaces

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Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique

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STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARÉ INEQUALITY IN A RIEMANNIAN MANIFOLD

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

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Rigidity of minimal submanifolds in hyperbolic space

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$L^{2}$ harmonic 1-forms on minimal submanifolds in hyperbolic space

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Q4345356

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Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$

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Finiteness of Index and Total Scalar Curvature for Minimal Hypersurfaces

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

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Q4102442

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Total scalar curvature and $L^2$ harmonic 1-forms on a minimal hypersurface in Euclidean space

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Identifiers

zbMATH Open document ID

1520.53048

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Mathematics Subject Classification ID

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10.1017/S0017089522000313

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Sitelinks

Mathematics(1 entry)

mardi Publication:6171786