Immersions with minimal absolute total curvature

DOI10.1007/BF01403250zbMath0187.18902WikidataQ125570678 ScholiaQ125570678MaRDI QIDQ2536446

Nicolaas H. Kuiper

Publication date: 1970

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142032

zbMATH Keywords

differential geometry

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Cites Work

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• The existence of polar non-degenerate functions on differentiable manifolds
• Le théorème de Barden-Mazur-Stallings
• Clifford modules
• Imbeddings of homogeneous spaces with minimum total curvature
• Über die absolute Totalkrümmung höherdimensionaler Knoten
• Minimum imbeddings of compact symmetric spaces of rank one
• Critical points and curvature for embedded polyhedra
• Minimal imbeddings of R-spaces
• Isometric imbeddings of compact symmetric spaces
• Totale Absolutkrümmung in Differentialgeometrie und -topologie
• On tight immersions of maximal codimension
• Convex immersions of closed surfaces in \(E^3\). Non-orientable closed surfaces in \(E^3\) with minimal total absolute Gauss-curvature
• On the Total Curvature of Immersed Manifolds
• Characteristic Classes and Homogeneous Spaces, I
• Tightly Embedded 2-Dimensional Polyhedral Manifolds
• Some Minimal Imbeddings of Homogeneous Spaces
• High Codimensional 0-Tight Maps of Spheres
• On total curvatures of closed space curves

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