Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Minimal curves of constant torsion


Author: Thomas A. Ivey
Journal: Proc. Amer. Math. Soc. 128 (2000), 2095-2103
MSC (2000): Primary 49K15, 53A04; Secondary 58A17, 58A30, 73C02
Published electronically: March 2, 2000
MathSciNet review: 1694865
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 49K15, 53A04, 58A17, 58A30, 73C02

Retrieve articles in all journals with MSC (2000): 49K15, 53A04, 58A17, 58A30, 73C02


Additional Information

Thomas A. Ivey
Affiliation: Department of Mathematical Sciences, Ball State University, Muncie, Indiana 47306
Email: tivey@math.bsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05526-X
PII: S 0002-9939(00)05526-X
Keywords: Curves of constant torsion, Griffiths formalism, elastic rods
Received by editor(s): September 2, 1998
Published electronically: March 2, 2000
Communicated by: Christopher Croke
Article copyright: © Copyright 2000 American Mathematical Society