Minimal cones and the spherical Bernstein problem. II

DOI10.1007/BF01394241zbMath0532.53045OpenAlexW4251573106MaRDI QIDQ789027

Wu-yi Hsiang

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143077

zbMATH Keywords

minimal surfacesminimal conesequivariant Riemannian geometryPoincaré-Bendixson method

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Unnamed Item
• Minimal cones and the spherical Bernstein problem. I
• New examples of constant mean curvature immersions of (2k-1)-spheres into euclidean 2k-space
• Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
• On the existence of codimension-one minimal spheres in compact symmetric spaces of rank 2. II
• Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
• Minimal immersions of surfaces in Euclidean spheres
• Minimal varieties in Riemannian manifolds
• Minimal cones and the Bernstein problem
• Minimal submanifolds of low cohomogeneity
• Examples of constant mean curvature immersions of the 3-sphere into euclidean 4-space
• The Equivariant Plateau Problem and Interior Regularity
• Flat Chains Over a Finite Coefficient Group
• ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS

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