Minimal submanifolds with bounded second fundamental form

DOI10.1007/BF02571543zbMath0725.53062OpenAlexW2313797900MaRDI QIDQ2276779

Chang-Yu Xia

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174334

zbMATH Keywords

norm of the second fundamental formcomplex projective spaceminimal submanifoldstotally real submanifoldpinching constant

Mathematics Subject Classification ID

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

Related Items (2)

An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere ⋮ Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere

Cites Work

• Curvature pinching and eigenvalue rigidity for minimal submanifolds
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Planar geodesic immersions
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• On Totally Real Submanifolds
• Positively Curved Kaehler Submanifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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