On the topology of a compact submanifold of a sphere with bounded second fundamental form

DOI10.1007/BF02568337zbMath0788.53050MaRDI QIDQ1313590

Pui-Fai Leung

Publication date: 30 May 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155833

zbMATH Keywords

second fundamental formhomotopy sphere

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (4)

A sphere theorem for submanifolds in a manifold with pinched positive curvature ⋮ Differentiable sphere theorems for submanifolds of positive \(k\)-th Ricci curvature ⋮ Null homology in warped product Lagrangian submanifolds of the nearly Kaehler \(\mathbb{S}^6\) and its applications ⋮ Differentiable pinching theorems for submanifolds via Ricci flow

Cites Work

• On stable currents and their application to global problems in real and complex geometry
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form

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