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

DOI10.1016/J.NA.2016.11.008zbMath1355.53030OpenAlexW2558298810WikidataQ115342885 ScholiaQ115342885MaRDI QIDQ730415

Nguyen Thac Dung

Publication date: 27 December 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.11.008

zbMATH Keywords

second fundamental formflat normal bundle\(p\)-harmonic \(\ell\)-formsweighted Poincaré inequalityWeitzenböck curvature operator

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ Vanishing theorems for \(p\)-harmonic forms on Riemannian manifolds ⋮ Unnamed Item ⋮ The first nonzero eigenvalue of the p-Laplacian on differential forms ⋮ Vanishing theorem for \(p\)-harmonic 1-forms on complete submanifolds in spheres ⋮ \(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle ⋮ Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality ⋮ The \(p\)-eigenvalue estimates and \(L^q\)\( p\)-harmonic forms on submanifolds of Hadamard manifolds

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