Taimanov’s surface evolution and Bäcklund transformations for curves

Author:

Garay Oscar,Langer Joel

Abstract

Taimanov’s evolution of conformally parametrized surfaces in Euclidean space by the modified Novikov-Veselov equation is interpreted here (in the revolution case) using hyperbolic geometry and Bäcklund transformations for curves.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Reference15 articles.

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3. The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane;Goldstein, Raymond E.;Phys. Rev. Lett.,1991

4. [Iv] T. Ivey, Helices, Hasimoto surfaces and Bäcklund transformations, Preprint (1998).

5. Induced surfaces and their integrable dynamics;Konopelchenko, B. G.;Stud. Appl. Math.,1996

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