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Bäcklund transformations according to Bishop frame in Euclidean 3-space. (English) Zbl 1290.53003

Summary: We define Bäcklund transformations of curves according to the Bishop frame which preserve the natural curvatures under certain assumptions in Euclidean 3-space.

MSC:

53A04 Curves in Euclidean and related spaces
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems