Highly connected taut submanifolds

DOI10.1007/BF01456025zbMath0507.57022MaRDI QIDQ1837436

Gudlaugur Thorbergsson

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163829

zbMATH Keywords

diffeomorphism types of taut, (k-1)-connected, 2k-dimensional submanifolds in space formstaut hypersurfaces of hyperbolic spacetaut submanifolds of Euclidean spacestaut submanifolds of spheres

Mathematics Subject Classification ID

Differential topology (57R99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• Some consequences of a theorem of Bott
• Dupin hypersurfaces
• Taut immersions of non-compact surfaces into a Euclidean 3-space
• A characterization of metric spheres in hyperbolic space by Morse theory
• Minimum imbeddings of compact symmetric spaces of rank one
• Minimal total absolute curvature for immersions
• The spherical two-piece property and tight surfaces in spheres
• Tight Embedding and Projective Transformation
• Conformal Geometry and the Cyclides of Dupin
• Tight and Taut Immersions
• Umbilical Submanifolds and Morse Functions

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