Kirchhoff elastic rods in the three-sphere

DOI10.2748/tmj/1113246551zbMath1063.74066OpenAlexW2020302150MaRDI QIDQ1885486

Satoshi Kawakubo

Publication date: 5 November 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246551

zbMATH Keywords

elliptic functionsclosed rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of global analysis to the sciences (58Z05) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (9)

Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ Conformally flat hypersurfaces with Bianchi-type Guichard net ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Magnetic vortex filament flows ⋮ A new approach for magnetic curves in 3D Riemannian manifolds ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ Pseudo null curve variations for Bishop frame in 3D semi-Riemannian manifold ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS

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