\(L^{2}\) harmonic 1-forms on minimal submanifolds in spheres

DOI10.1007/s00025-013-0360-4zbMath1293.53074OpenAlexW2054827428MaRDI QIDQ2016032

Peng Zhu, Wenzhen Gan

Publication date: 18 June 2014

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-013-0360-4

zbMATH Keywords

total curvaturenonparabolic end\(L^{2}\) harmonic 1-form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (4)

\(L^{2}\) harmonic 2-forms on minimal hypersurfaces in spheres ⋮ Harmonic 1-forms on minimal hypersurfaces in \(\mathbb{S}^n \times \mathbb{R}\) ⋮ Rigidity of complete minimal hypersurfaces in the Euclidean space ⋮ \(L^p\) harmonic 1-forms on totally real submanifolds in a complex projective space

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