A pinching theorem for minimal submanifolds in a sphere

DOI10.1007/BF01196863zbMath0762.53041OpenAlexW2330187814MaRDI QIDQ1193266

Chang-Yu Xia

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196863

zbMATH Keywords

second fundamental formtotally geodesic submanifoldVeronese surface

Mathematics Subject Classification ID

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

Cites Work

• Minimal immersions of 2-manifolds into spheres
• Three-manifolds with positive Ricci curvature
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
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