Explicit Elastic Curves

Annals of Global Analysis and Geometry

Volumn 16, Issue 5, 1998, Pages 445-475

  Linnér, Anders ^a  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Elastic curves; Total squared curvature

Indexed keywords

EID: 0042228997     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006526817291     Document Type: Article

References (8)

1. Bowman, F.: An Introduction to Elliptic Functions with Applications, Dover, New York, 1961.
2. Brunnett, G.: A new characterization of plane elastica, in T. Lyche and L. Schumaker, eds., Mathematical Methods in Computer Aided Geometric Design II, Academic Press, New York, 1992, pp. 43-56.
3. Langer, J. and Singer, D. A.: The total squared curvature of closed curves, J. Differential Geom. 20 (1984), 1-22.
4. Langer, J. and Singer, D. A.: Curve-straightening and a minimax argument for closed elastic curves, Topology 24 (1985), 75-88.
5. Langer, J. and Singer, D. A.: Curve-straightening in Riemannian manifolds, Ann. Global Anal. Geom. 5 (1987), 133-150.
6. Linner, A.: Existence of free non-closed Euler-Bernoulli elastica, Nonlinear Anal. 21(8) (1993), 575-593.
7. Linnér, A.: Unified representations of non-linear splines, J. Approx. Theory 84(3) (1996), 315-350.
8. Linnér, A.: Curve straightening and the Palais-Smale Condition, Trans. Amer. Math. Soc., 1998, to appear.