On Closed Minimal Submanifolds in Pinched Riemannian Manifolds

DOI10.2307/2154969zbMath0830.53048OpenAlexW4235377186MaRDI QIDQ4846092

Hong-Wei Xu

Publication date: 28 January 1996

Full work available at URL: https://doi.org/10.2307/2154969

zbMATH Keywords

second fundamental formpinched Riemannian manifoldclosed minimal submanifoldsgeneralized Simons integral inequality

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

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• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• Submanifolds with Constant Mean Curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length