Embedding and knotting of flat compact surfaces in 3-space

DOI10.1007/s00014-001-0000-6zbMath1005.58005OpenAlexW2130783117MaRDI QIDQ5956903

Peter Røgen

Publication date: 23 June 2002

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-001-0000-6

zbMATH Keywords

Frenet frameSeifert surfacedevelopable surfaceMöbius stripflat closed stripisotopy classes of compact surfaces in 3-spaceself-linking number

Mathematics Subject Classification ID

Related Items (6)

Singularities of the asymptotic completion of developable Möbius strips ⋮ NEGATIVELY CURVED MÖBIUS STRIPS ON GIVEN KNOTS ⋮ Extrinsically flat Möbius strips on given knots in 3-dimensional spaceforms ⋮ Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature ⋮ 𝐡-principles for hypersurfaces with prescribed principle curvatures and directions ⋮ Equilibrium shapes with stress localisation for inextensible elastic Möbius and other strips

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