In this work, we introduce a new version of Bishop frame using a common vector field as
binormal vector field of a regular curve and call this frame as “Type-2 Bishop Frame” …

In this paper we investigate the relations between a general helix and a slant helix.
Moreover, we obtain some differential equations which they are characterizations for a …

In this paper, we investigate a curve whose spherical images (the tangent indicatrix and
binormal indicatrix) are spherical slant helices and called it as a C− slant helix. This notation …

We introduce the notion of the principal (binormal)-direction curve and principal (binormal)-
donor curve of a Frenet curve in E3 and give the relationship of curvature and torsion of its …

We consider a curve $\alpha=\alpha (s) $ in Minkowski 3-space $ E_1^ 3$ and denote by
$\{T, N, B} $ the Frenet frame of $\alpha $. We say that $\alpha $ is a slant helix if there exists …

The Slant Helices According to Bishop Frame Page 1 Abstract—In this study, we have defined
slant helix according to Bishop frame in Euclidean 3-Space. Furthermore, we have given …

In this paper, position vector of a slant helix with respect to standard frame in Euclidean
space E 3 is studied in terms of Frenet equations. First, a vector differential equation of third …

A magnetic field is defined by the property that its divergence is zero in a three-dimensional
oriented Riemannian manifold. Each magnetic field generates a magnetic flow whose …

In this work, the directional spherical indicatrices of a timelike space curve using tangent,
quasi-normal and quasi-binormal vectors with q-frame are introduced. Then we work on the …

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 …