An application of Moser iteration to complete minimal submanifolds in a sphere

DOI10.1017/S1446788700008867zbMath1071.53032MaRDI QIDQ4826150

Leung-Fu Cheung, Pui-Fai Leung

Publication date: 11 November 2004

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

zbMATH Keywords

minimal submanifoldsMoser iteration

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Minimal submanifolds in a sphere
• Compactification of minimal submanifolds of hyperbolic space
• On complete minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• A Global Pinching Theorem of Minimal Hypersurfaces in the Sphere

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