Harmonic 1-forms on minimal hypersurfaces in \(\mathbb{S}^n \times \mathbb{R}\)

DOI10.1007/S00574-023-00380-6zbMath1530.58017MaRDI QIDQ6187526

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Publication date: 15 January 2024

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

zbMATH Keywords

second fundamental form\(L^2\) harmonic 1-formhypersurfaces in \(\mathbb{S}^n \times \mathbb{R}\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Unnamed Item
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• \(L^{2}\) harmonic 1-forms on minimal submanifolds in spheres
• Rigidity of minimal submanifolds in hyperbolic space
• An Estimate on the Ricci Curvature of a Submanifold and Some Applications
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• Geometric Analysis

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