\(L^2\) harmonic 1-forms on complete submanifolds in Euclidean space
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Publication:1047762
DOI10.2996/kmj/1257948888zbMath1182.53048OpenAlexW2040188962MaRDI QIDQ1047762
Publication date: 6 January 2010
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1257948888
Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (7)
On stable constant mean curvature hypersurfaces ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature ⋮ Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold ⋮ Vanishing theorems for \(L^2\) harmonic forms on complete submanifolds in Euclidean space ⋮ The non-parabolicity of infinite volume ends ⋮ On the structure and volume growth of submanifolds in Riemannian manifolds
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