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New spherical indicatrices and their characterizations. (English) Zbl 1224.53003

Summary: We introduce new spherical images by translating Bishop frame vectors of a regular curve to the center of the unit sphere of the three dimensional Euclidean space. Such curves are called Bishop Spherical Indicatrices. The Frenet–Serret apparatus of these new curves is obtained in terms of base curve’s Bishop invariants. Additionally, illustrations of two examples are presented.

MSC:

53A04 Curves in Euclidean and related spaces
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