On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature

DOI10.1590/0001-3765201620150085zbMath1371.53057OpenAlexW2562262049WikidataQ50531379 ScholiaQ50531379MaRDI QIDQ4977282

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Publication date: 16 August 2017

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/0001-3765201620150085

zbMATH Keywords

total curvature\(L^2\) harmonic 2-formhypersurface in spherereduced \(L^2\) cohomology

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

\(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle ⋮ Hypersurfaces in spheres with finite total curvature

Cites Work

• Unnamed Item
• Finiteness of non-parabolic ends on submanifolds in spheres
• Refined Kato inequalities for harmonic fields on Kähler manifolds
• \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature
• Harmonic two-forms on manifolds with non-negative isotropic curvature
• Manifolds with weighted Poincaré inequality and uniqueness of minimal hypersurfaces
• Minimal hypersurfaces with finite index
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
• Sobolev and isoperimetric inequalities for riemannian submanifolds

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