Framed curves, ribbons, and parallel transport on the sphere
From MaRDI portal
Publication:6174603
DOI10.1007/s00332-023-09930-0zbMath1524.74314OpenAlexW4380985624MaRDI QIDQ6174603
Publication date: 14 July 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-023-09930-0
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Applications of differential geometry to physics (53Z05) Applications of differential geometry to engineering (53Z30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones
- Über ein abwickelbares Möbiusband
- Stability of nonlinearly elastic rods
- Deformation of framed curves with boundary conditions
- A new version of Bishop frame and an application to spherical images
- Principal normal indicatrices of closed space curves
- Moving frames and the characterization of curves that lie on a surface
- On the Sobolev space of isometric immersions
- Solving the boundary value problem for finite Kirchhoff rods
- Global injectivity and topological constraints for spatial nonlinearly elastic rods
- Sides of the Möbius strip
- Numerical solution of a bending-torsion model for elastic rods
- Translation of Michael Sadowsky's paper ``An elementary proof for the existence of a developable Möbius band and the attribution of the geometric problem to a variational problem
- Translation and interpretation of Michael Sadowsky's paper ``Theory of elastically bendable inextensible bands with applications to the Möbius band
- Gamma-limit of a model for the elastic energy of an inextensible ribbon
- ``Wunderlich, meet Kirchhoff: a general and unified description of elastic ribbons and thin rods
- Bending paper and the Möbius strip
- Macroscopic and microscopic behavior of narrow elastic ribbons
- Kirchhoff's problem of helical equilibria of uniform rods
- Über das Hauptnormalenbild einer Raumkurve
- Stability of boundary conditions for the Sadowsky functional
- A Variational Model for Anisotropic and Naturally Twisted Ribbons
- Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
- Partial Differential Relations
- A Differential-Geometric Criterion for a Space Curve to be Closed
- There is More than One Way to Frame a Curve
- A gradient flow for open elastic curves with fixed length and clamped ends
- On the Geometric Flow of Kirchhoff Elastic Rods
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Tantrices of Spherical Curves
- Evolutes and focal surfaces of framed immersions in the Euclidean space
- Numerical Simulation of Inextensible Elastic Ribbons
- Helices
- Nonlinear problems of elasticity
This page was built for publication: Framed curves, ribbons, and parallel transport on the sphere
