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 |