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

DOI10.1016/j.difgeo.2021.101741zbMath1468.53040OpenAlexW3139014639WikidataQ113877070 ScholiaQ113877070MaRDI QIDQ2034545

Xiaoli Chao, Miaomiao Bai, Aiying Hui

Publication date: 22 June 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101741

zbMATH Keywords

Poincaré inequality\(p\)-harmonic \(\ell\)-formsvanishing-type theorem

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Rigidity results (53C24)

Related Items (3)

A note on \(p\)-harmonic \(\ell\)-forms on complete non-compact manifolds ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Unnamed Item

Cites Work

• \(L^p\;p\)-harmonic 1-forms on submanifolds in a Hadamard manifold
• Vanishing theorems for \(L^{2}\) harmonic forms on complete Riemannian manifolds
• Refined Kato inequalities for harmonic fields on Kähler manifolds
• \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature
• Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold
• \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality
• Harmonic functions and the structure of complete manifolds
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Complete manifolds with positive spectrum
• Harmonic \(p\)-forms on Hadamard manifolds with finite total curvature
• \(L^{p}\) \(p\)-harmonic 1-forms on locally conformally flat Riemannian manifolds
• \(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle
• \(p\)-harmonic 1-forms on complete manifolds
• \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold
• A Note on p-Harmonic 1-Forms on Complete Manifolds
• L²HARMONIC 1-FORMS ON SUBMANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY
• Results on a weighted Poincaré inequality of complete manifolds
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• $L^p$ harmonic $1$-form on submanifold with weighted Poincaré inequality
• STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARÉ INEQUALITY IN A RIEMANNIAN MANIFOLD
• Geometric Analysis
• Unnamed Item

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