Elastic curves and Willmore Hopf-Tori
Elastic curves and Willmore Hopf-Tori
Elastic curves and Willmore Hopf-Tori
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Whitham deformationPolynomials A, B <strong>and</strong> CThe deformation in the parameter t is subject to the integrabilityconditiond 2dλ dt log µ =d2dt dλ log µ ,or equivalently in terms of the polynomials A, B <strong>and</strong> C that2 A Ḃ − ˙ A B = 2 AC ′ − A ′ C . (3.1)The variables in the flow are the 2g + 2 coefficients of A, <strong>and</strong> theg + 1 coefficients of B. The g + 1 coefficients of C can be chosenfreely.
Change language