Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold

DOI10.1016/j.jmaa.2014.10.076zbMath1303.53067OpenAlexW2089085571WikidataQ115346048 ScholiaQ115346048MaRDI QIDQ472366

Nguyen Thac Dung, Keomkyo Seo

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.076

zbMATH Keywords

first eigenvaluetraceless second fundamental form\(\delta\)-stability inequality\(L^2\) harmonic 1-form

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Hodge theory in global analysis (58A14)

Related Items

Harmonic \(p\)-forms on Hadamard manifolds with finite total curvature ⋮ Vanishing theorems for \(L^{2}\) harmonic forms on complete Riemannian manifolds ⋮ \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Unnamed Item ⋮ Vanishing properties of -minimal hypersurfaces in a complete smooth metric measure space ⋮ Unnamed Item ⋮ Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality ⋮ Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted bi-Ricci curvature bounded from below ⋮ \(L^p\) harmonic 1-forms on totally real submanifolds in a complex projective space

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