Sides of the Möbius strip

DOI10.1007/BF01268871zbMath0864.53002MaRDI QIDQ1924939

Peter Røgen, Thomas Randrup

Publication date: 17 June 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

linking numbertotal torsioncenter curves of Möbius stripsflat and analytic embeddings of Möbius strips

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (13)

A corrected Sadowsky functional for inextensible elastic ribbons ⋮ How to twist a knot ⋮ Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra ⋮ Singularities of the asymptotic completion of developable Möbius strips ⋮ Extrinsically flat Möbius strips on given knots in 3-dimensional spaceforms ⋮ A ribbon model for nematic polymer networks ⋮ Nonrigidity of flat ribbons ⋮ Framed curves, ribbons, and parallel transport on the sphere ⋮ Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature ⋮ Monge surfaces and planar geodesic foliations ⋮ Isometries between given surfaces and the isometric deformation of a single unstretchable material surface ⋮ Gamma-limit of a model for the elastic energy of an inextensible ribbon ⋮ Equilibrium shapes with stress localisation for inextensible elastic Möbius and other strips

Cites Work

• Unnamed Item
• A pretender to the title ``canonical Möbius strip
• How to twist a knot
• Differential forms. With applications to the physical sciences
• The Dark Side of the Moebius Strip

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