Alternative partner curves in the Euclidean 3-space

Year 2020, Volume: 69 Issue: 1, 900 - 909, 30.06.2020

Beyhan Yılmaz , Aykut Has

https://doi.org/10.31801/cfsuasmas.538177

Cited By: 3

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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