The total squared curvature of closed curves
Joel Langer and David A. Singer
Source: J. Differential Geom. Volume 20, Number 1
(1984), 1-22.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214438990
Mathematical Reviews number (MathSciNet): MR772124
Zentralblatt MATH identifier: 0554.53013
References
[1] G. D. Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917) 199-300.
Mathematical Reviews (MathSciNet): MR1501070
Digital Object Identifier: doi:10.2307/1988861
JSTOR: links.jstor.org
[2] R. Bryant and P. Griffiths, Reduction for constrained variational problems and f k 2 /2 ds, Amer. J. Math., to appear.
Zentralblatt MATH: 0604.58022
Mathematical Reviews (MathSciNet): MR844630
Digital Object Identifier: doi:10.2307/2374654
JSTOR: links.jstor.org
[3] P. F. Byrd and M. D. Friedman, Handbook of elliptic integrals for engineers and physicists, Springer, Berlin, 1954.
Zentralblatt MATH: 0055.11905
Mathematical Reviews (MathSciNet): MR60642
[4] H. T. Davis, introduction to nonlinear differential and integral equations, Dover, New York, 1962.
Zentralblatt MATH: 0106.28904
Mathematical Reviews (MathSciNet): MR181773
[5] P. Griffiths, Exterior differential systems and the calculus of variations, Birkhauser, Boston, 1982.
Zentralblatt MATH: 0512.49003
Mathematical Reviews (MathSciNet): MR684663
[6] J. Langer and D. A. Singer, Curves in the hyperbolic plane and mean curvature of tori in 3-space, Bull. London Math. Soc, 16 (1984), to appear.
Zentralblatt MATH: 0554.53014
Mathematical Reviews (MathSciNet): MR751827
Digital Object Identifier: doi:10.1112/blms/16.5.531
[7] J. Langer and D. A. Singer, Knotted elastic curves in R3, J. London Math. Soc, to appear.
Zentralblatt MATH: 0595.53001
[8] J. Langer and D. A. Singer, Curve straightening and a minimax argument for closed elastic curves, Topology, to appear.
Zentralblatt MATH: 0561.53004
Mathematical Reviews (MathSciNet): MR790677
[9] R. S. Palais, Critical point theory and the minimax principle, Global Analysis, Proc Sympos. Pure Math., Vol. 15, Amer. Math. Soc, Providence, RI, 1970, 185-212.
Zentralblatt MATH: 0212.28902
Mathematical Reviews (MathSciNet): MR264712
[10] S. Smale, Regular curves on Riemannian manifolds, Trans. Amer. Math. Soc. 87 (1958) 492-512.
Zentralblatt MATH: 0081.38103
Mathematical Reviews (MathSciNet): MR94807
Digital Object Identifier: doi:10.2307/1993113
JSTOR: links.jstor.org
[11] C. Truesdell, The influence of elasticity on analysis, the classical heritage, Bull. Amer. Math. Soc. 9 (1983) 293-310.
Zentralblatt MATH: 0555.73030
Mathematical Reviews (MathSciNet): MR714991
Digital Object Identifier: doi:10.1090/S0273-0979-1983-15187-X
Project Euclid: euclid.bams/1183551289
Journal of Differential Geometry
