On the total absolute curvature of closed curves in spheres

DOI10.1007/BF01172493zbMath0589.53001MaRDI QIDQ1074118

Eberhard Teufel

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/155187

zbMATH Keywords

critical pointsspherical curveslevel functionstotal absolute curvature

Mathematics Subject Classification ID

Integral geometry (53C65) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (5)

The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric space of compact type ⋮ The total absolute curvature of nonclosed curves in \(S^2\) ⋮ Total curvature and some characterizations of closed curves in \(\mathrm{CAT}(k)\) spaces ⋮ The isoperimetric inequality and the total absolute curvature of closed curves in spheres ⋮ On the geodesic curvature of Riemannian loops

Cites Work

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• Eine Differentialtopologische Berechnung der totalen Krümmung und totalen Absolutkrümmung in der sphärischen Differentialgeometrie
• On the total curvature of knots
• On the total curvature of some tame knots
• Über eine numerische Knoteninvariante
• The singularities of a smooth \(n\)-manifold in \((2n-1)\)-space
• Eine Bemerkung über die Totalkrümmung geschlossener Raumkurven
• The Total Absolute Curvature of Immersed Manifolds
• Sur la courbure totale d'une courbe gauche faisant un nœud
• On the differential geometry of closed space curves

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