Curvature Pinching for Three-Dimensional Minimal Submanifolds in a Sphere

DOI10.2307/2159229zbMath0760.53038OpenAlexW4244377942MaRDI QIDQ4013493

Yi-Bing Shen

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159229

zbMATH Keywords

Ricci curvatureminimal submanifoldspinching theorems

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

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Cites Work

• Minimal immersions of 3-dimensional sphere into spheres
• Compact minimal submanifolds of a sphere with positive Ricci curvature
• On intrinsic rigidity for minimal submanifolds in a sphere
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length