A plethora of non-bending surfaces of revolution: classifications and explicit parameterizations

DOI10.7546/giq-22-2021-219-241zbMath1476.53026OpenAlexW3160679991MaRDI QIDQ1980325

Vladimir I. Pulov, Ivaïlo M. Mladenov

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-219-241

zbMATH Keywords

elliptic integralsJacobian elliptic functionsparameterizationssurface geometryaxially symmetric surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Elliptic functions and integrals (33E05)

Uses Software

• Maple
• CandS

Cites Work

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• Explicit parameterizations of non-bending torus-like surfaces
• Further deformations of the axially-symmetric non-bending surfaces
• The many faces of elastica
• Explicit description of some classes of non-bending surfaces
• Deformations without bending: explicit examples
• Encyclopedia of Analytical Surfaces

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