Total curvature for knotted surfaces

DOI10.1007/BF01389134zbMath0553.53034MaRDI QIDQ802162

Nicolaas H. Kuiper, William Hamilton III Meeks

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/143137

zbMATH Keywords

knotted surfacestotal absolute curvaturefirst homotopyisotopy tight surfacesisotopy tightness

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Regular homotopy and total curvature. I: Circle immersions into surfaces ⋮ Global inequalities for curves and surfaces in three-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Dehn's lemma and the asphericity of knots
• The existence of polar non-degenerate functions on differentiable manifolds
• Polynomial equations for tight surfaces
• The topological uniqueness of minimal surfaces in three dimensional euclidean space
• Totale Absolutkrümmung von Hyperflächen
• On curvature integrals and knots
• Heegaard-Zerlegungen der 3-Sphäre
• 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 knots
• On the total curvature of some tame knots
• Über eine numerische Knoteninvariante
• On the Total Curvature of Immersed Manifolds
• On Solid Tori
• Morse Theory. (AM-51)
• Stable surfaces in Euclidean three space.
• The Total Absolute Curvature of An Immersed Manifold
• Sur la courbure totale d'une courbe gauche faisant un nœud
• On total curvatures of closed space curves

This page was built for publication: Total curvature for knotted surfaces