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Minimal curves of constant torsion |
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| Authors: | Thomas A Ivey |
| Institution: | Department of Mathematical Sciences, Ball State University, Muncie, Indiana 47306 |
| Abstract: | The Griffiths formalism is applied to find constant torsion curves which are extremal for arclength with respect to variations preserving torsion, fixing the endpoints and the binormals at the endpoints. The critical curves are elastic rods of constant torsion, which are shown to not realize certain boundary conditions. |
| Keywords: | Curves of constant torsion Griffiths formalism elastic rods |
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