Minimal submanifolds in a sphere

DOI10.1007/BF01187216zbMath0491.53045WikidataQ125853693 ScholiaQ125853693MaRDI QIDQ1167434

Pui-Fai Leung

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173308

zbMATH Keywords

Ricci curvaturefundamental groupminimal submanifoldintegral homology groupslength of the second fundamental form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Topological obstructions for submanifolds in low codimension ⋮ A topological sphere theorem for contact CR-warped product submanifolds of an odd-dimensional unit sphere ⋮ An application of Moser iteration to complete minimal submanifolds in a sphere ⋮ Index estimates for closed minimal submanifolds of the sphere ⋮ Vanishing theorems for the cohomology groups of free boundary submanifolds ⋮ Lower bounds for the length of the second fundamental form via the first eigenvalue of the \(p\)-Laplacian ⋮ An Estimate on the Ricci Curvature of a Submanifold and Some Applications ⋮ The curvature and topological properties of hypersurfaces with constant scalar curvature ⋮ Minimal submanifolds with a parallel or a harmonic \(p\)-form ⋮ Characterization of Lagrangian submanifolds by geometric inequalities in complex space forms ⋮ Homology vanishing theorems for pinched submanifolds ⋮ Applications of Bochner formula to minimal submanifold of the sphere.

Cites Work

• Unnamed Item
• On stable currents and their application to global problems in real and complex geometry
• Minimal varieties in Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Homology Spheres Which are Covered by Spheres

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