On extendability of isometric immersions of spheres

DOI10.1215/S0012-7094-96-08526-9zbMath0871.53047MaRDI QIDQ674642

John Douglas Moore

Publication date: 24 September 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

isometric immersionsmoving frameslinear connectionsumbilic foliationsumbilical distributions

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Immersions in differential topology (57R42)

Related Items (1)

Euler characters and submanifolds of constant positive curvature

Cites Work

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• Isometric homotopy and codimension-two isometric immersions of the n-sphere into Euclidean space
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• Conformally flat submanifolds of Euclidean space
• Submanifolds of constant positive curvature. I
• On Joris' theorem on differentiability of functions
• Une \(C^\infty\)-application non-immersive qui possède la propriété universelle des immersions
• Umbilics of constant curvature immersions
• Isometric Homotopy in Codimension Two
• Differential Systems and Isometric Embeddings.(AM-114)
• Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection

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