In this paper, we derive the Bishop frames of the pseudo null curve and show that its normal
Bishop vectors N 1 and N 2 can be obtained by applying the hyperbolic rotation and the …

The main purpose of this paper is to investigate parallel frames of non-lightlike curves in
Minkowski space-time. For this purpose, the relations between Frenet–Serret frame and …

In this paper, we introduce the adapted frame of framed curves and we give the relations
between the adapted frame and Frenet type frame of the framed curve in four-dimensional …

In the present study, we attend to the canal surfaces with the spine curve γ according to the
parallel transport frame in Euclidean 4-space 𝔼 4. We give an example of these surfaces …

In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time 𝔼 1
4. We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike …

We give, with its sample, a new type of canal surface constructed by means of the parallel
transport frame of its spine curve in Euclidean 4-space 4 IE. We investigate the curvature …

The first purpose of this paper is to investigate the quasi frame, the quasi equations and
show the relations between the Frenet and the quasi curvatures in E4. The second purpose …

In this article, firstly, it is aimed to introduce the ruled surfaces, which is generated by quasi-
vectors, by using the relationship between the Frenet frame and the quasi-frame, the quasi …

In this paper, we handle the Gauss map of a tubular surface which is constructed according
to the parallel transport frame of its spine curve. We show that there is no tubular surface …

In the present paper, firstly we obtain the canal hypersurfaces that are formed as the
envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose …