A sphere theorem for submanifolds in a manifold with pinched positive curvature

DOI10.1007/BF01319045zbMath0905.53039OpenAlexW2330874425MaRDI QIDQ1376014

Chang-Yu Xia

Publication date: 4 February 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178796

zbMATH Keywords

second fundamental formcurvaturesphere theoremcompact submanifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension

Cites Work

• Unnamed Item
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\)
• On the topology of a compact submanifold of a sphere with bounded second fundamental form
• Rigidity and sphere theorem for manifolds with positive Ricci curvature
• Minimal varieties in Riemannian manifolds
• Sur quelques variétés riemanniennes suffisamment pincées
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• Riemannian geometry

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