Alternative partner curves in the Euclidean 3-space

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
Alternative partner curves in the Euclidean 3-space

Alternative partner curves in the Euclidean 3-space

Authors : Beyhan YILMAZ, Aykut HAS

Pages : 900-909

Doi:10.31801/cfsuasmas.538177

View : 35 | Download : 28

Publication Date : 2020-06-30

Article Type : Research Paper

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.
Keywords : Slant Helix, alternative frame, curve pairs

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