Cilt:69 Sayı:01 (2020)

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Alternative partner curves in the Euclidean 3-space
(Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Yılmaz, Beyhan; Has, Aykut; Other; Other
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.
Curves and ruled surfaces according to alternative frame in dual space
(Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Çalışkan, Abdussamet; Şenyurt, Süleyman; Other; Other
In this paper, the vectorial moments of the alternative vectors are expressed in terms of alternative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces corresponding to the (^N); (^C); (^W) dual curves are given. The integral invariants of the these surfaces are computed and illustrated by presenting with examples.