Characterization of ideal knots

Calculus of Variations and Partial Differential Equations

Volumn 19, Issue 3, 2004, Pages 281-305

  Schuricht, Friedemann ^a   Van der Mosel, Heiko ^b  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1142276491     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-003-0216-y     Document Type: Article

References (17)

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3. Cantarella, J., Kusner, R.B., Sullivan, J.M.: On the minimum ropelength of knots and links. Inventiones math. 150, 257-286 (2002)
4. Clarke, F.H.: Optimization and nonsmooth analysis. John Wiley, New York 1983
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7. Gonzalez, O., Maddocks, J.H., Schuricht, F., von der Mosel, H.: Global curvature and self-contact of nonlinearly elastic curves and rods. Calc. Var. 14, 29-68 (2002)
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10. Kusner, R.B., Sullivan, J.M.: On distortion and thickness of knots. In: Whittington, S.G., Sumners, D.W., Lodge T. (eds.) Topology and geometry in Polymer science, pp. 67-78. IMA Volumes in Math. and its Appl. 103. Springer, Berlin Heidelberg New York 1998
11. Litherland, R., Simon, J., Durumeric, O., Rawdon, E.: Thickness of knots. Topology and its Appl. 91, 233-244 (1999)
12. Pierański, P.: In search of ideal knots. In: Stasiak, A., Katritch, V., Kauffman, L.H. (eds.) Ideal knots, pp. 20-41. Ser. on Knots and Everything 19. World Scientific, Singapore 1988
13. Schuricht, F., von der Mosel, H.: Global curvature of rectifiable loops. Math. Z. 243, 37-77 (2003)
14. Schuricht, F., von der Mosel, H.: Euler Lagrange equations for nonlinearly elastic rods with self-contact. Arch. Rat. Mech. Anal. online DOI 10.1007/s00205-003-0253-x
15. Schuricht, F., von der Mosel, H.: Characterization of ideal knots. Preprint 22, SFB 611 Univ. Bonn (July 2002)
16. Stasiak, A., Katritch, V., Kauffman, L.H. (eds.): Ideal knots. Ser. on Knots and Everything 19, World Scientific, Singapore 1988
17. Sullivan, J.M.: Approximating ropelength by energy functions. In: Physical knots (Las Vegas 2001), pp. 181-186. Contemp. Math. 304. Amer. Math. Soc., Providence 2002