This paper presents a new approach of constructing special ruled surfaces and aims to
study their developability and minimalist conditions. Our concept opens opportunities for …

In this paper, we first introduce N-Bishop frame for a normal direction curve which is defined
as an integral curve of the principal normal of a curve. We express this new frame and its …

Bu çalışmada, spacelike asli normalli spacelike anti-Salkowski eğrisinin Frenet vektörleri
tarafından elde edilen TN, TB, NB ve TNB Smarandache eğrileri tanımlandı. Daha sonra, bu …

On the Quaternionic Smarandache Curves in Euclidean 3-Space Page 1 Int. J. Contemp. Math.
Sciences, Vol. 8, 2013, no. 3, 139 – 150 HIKARI Ltd, www.m-hikari.com On the Quaternionic …

In this paper, when the unit Darboux vector of the partner curve of Mannheim curve are
taken as the position vectors, the curvature and the torsion of Smarandache curve are …

In this paper, Smarandache trajectory curves of constant mass point particles are described
and evaluated as they move along the trajectory curve in Euclidean 3-space E3 using its …

In this paper, we introduce special equiform Smarandache curves reference to the equiform
Frenet frame of a curve ζ on a spacelike surface M in Minkowski 3-space E 1 3. Also, we …

This paper aims to study the skew ruled surfaces by using the quasi-frame of Smarandache
curves in the Euclidean 3-space. Also, we reveal the relationship between Serret-Frenet and …

In this paper, we study Smarandache curves according to Darboux frame in the three-
dimensional Minkowski space E 1 3. Using the usual transformation between Frenet and …

In this paper, we analyzed the problem of consructing a family of surfaces from a given some
special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in …