Minimal curves of constant torsion

Authors
Citation
Ta. Ivey, Minimal curves of constant torsion, P AM MATH S, 128(7), 2000, pp. 2095-2103
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
7
Year of publication
2000
Pages
2095 - 2103
Database
ISI
SICI code
0002-9939(2000)128:7<2095:MCOCT>2.0.ZU;2-R
Abstract
The Griffiths formalism is applied to find constant torsion curves which ar e extremal for arclength with respect to variations preserving torsion, fix ing the endpoints and the binormals at the endpoints. The critical curves a re elastic rods of constant torsion, which are shown to not realize certain boundary conditions.