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

DOI10.21136/CMJ.2018.0415-16zbMath1458.53064OpenAlexW2789941095MaRDI QIDQ4637376

Yusha Lv, Xiaoli Chao

Publication date: 18 April 2018

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0415-16

zbMATH Keywords

weighted Poincaré inequality\(L^p\) harmonic \(1\)-form\(\delta \)-stabilityproperty \((\mathcal{P}_{\varrho})\)

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

\(L^{p}\) harmonic 1-forms on submanifolds in spheres ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Unnamed Item ⋮ Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality ⋮ \(L^p\) harmonic 1-forms on conformally flat Riemannian manifolds

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