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Bäcklund transformation for spacelike curves in the Minkowski space-time. (English) Zbl 1336.53023
The authors constructs a Bäcklund transformation between two space-like curves with the same curvature in Minkowski spacetime and give relations between curvatures of these two space-like curves with respect to a kind of rotation and causal characters of Frenet vectors (five different cases).

MSC:
53A35 Non-Euclidean differential geometry
53A04 Curves in Euclidean and related spaces
58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds
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