\(L^p\;p\)-harmonic 1-forms on submanifolds in a Hadamard manifold

DOI10.1016/j.geomphys.2016.05.006zbMath1345.53053OpenAlexW2403285992MaRDI QIDQ303876

Hong Pan, Ying Bo Han

Publication date: 22 August 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.05.006

zbMATH Keywords

submanifoldsfinite total curvature\(p\)-harmonic 1-form

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

Geometries and topologies of conformally flat Riemannian manifolds ⋮ \(L^{p}\) harmonic 1-forms on submanifolds in spheres ⋮ \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold ⋮ 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 ⋮ \(L^p\) harmonic 1-forms on minimal hypersurfaces with finite index ⋮ Unnamed Item ⋮ 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 ⋮ \(L^p\) harmonic 1-forms on conformally flat Riemannian manifolds

Cites Work

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• A Note on p-Harmonic 1-Forms on Complete Manifolds
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Vector fields and Ricci curvature

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