L2HARMONIC 1-FORMS ON SUBMANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY

DOI10.4134/JKMS.j150190zbMath1339.53059MaRDI QIDQ2806538

Yusha Lv, Xiaoli Chao

Publication date: 18 May 2016

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=467731

zbMATH Keywords

stable hypersurface\(L^2\) harmonic 1-formweighted Poincaré inequalityproperty \((\mathcal{P}_\rho)\)

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 (4)

Harmonic \(p\)-forms on Hadamard manifolds with finite total curvature ⋮ 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

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