Minimal curves of constant torsion

Ivey, Thomas

doi:10.1090/S0002-9939-00-05526-X

Minimal curves of constant torsion
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by Thomas A. Ivey

Proc. Amer. Math. Soc. 128 (2000), 2095-2103

DOI: https://doi.org/10.1090/S0002-9939-00-05526-X

Published electronically: March 2, 2000

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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.

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