Alternative partner curves in the Euclidean 3-space

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Date

2020-06-30

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Publisher

Ankara Üniversitesi Fen Fakültesi

Abstract

In the present paper, a new type of special curve couple which are called WC^{∗}-partner curves are introduced according to alternative moving frame {N,C,W}. The distance function between the corresponding points of reference curve and its partner curve is obtained. Besides, the angle function between the vector fields of alternative frame of the curves is expressed by means of alternative curvatures f and g. In addition to these, various characterizations are obtained related to these curves.

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Keywords

Slant Helix, Alternative frame, Curve pairs

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