Binormal Motion of Curves with Constant Torsion in 3‐Spaces

Josu Arroyo, Óscar J. Garay and Álvaro Pámpano

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss‐Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are “soliton” solutions in the sense that they evolve without changing shape.

Date: 2017
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https://doi.org/10.1155/2017/7075831

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:7075831

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