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On the characterizations of the curve couples according to Bishop frame in 3-dimensional Euclidean space
  • Ali Atasoy
Ali Atasoy
Kirikkale University

Corresponding Author:[email protected]

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The Bishop frame is considered as an alternative to the Frenet frame in 3-dimensional Euclidean space. This frame is usefull for the curves that the second derivative is not available. In this study, for a curve in 3-dimensional Euclidean space, the conditions for the Bishop frame plane to be the same as the Bishop frame plane of another curve are examined. For this, nine possible cases are considered.