In this paper, we consider the singularities and geometrical properties of timelike
developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the …

In this paper, we give the parametric equation of the Bishop frame for a timelike sweeping
surface with a unit speed timelike curve in Minkowski 3-space. We introduce a new …

The theory of curves has a very long history. Moving frames defined on curves are important
parts of this theory. They have never lost their importance. A point particle of constant mass …

In this work, the singularities of the non-lightlike developable surfaces according to Bishop
frame are classified in Minkowski 3-space R 1 3. In particular, we analyze the necessary and …

We considered the spacelike sweeping surface with rotation minimizing frames at Minkowski
3‐space E 1 3. We presented the new geometric invariant to demonstrate geometric …

The purpose of our paper is to investigate N-Bishop frame of the quadratic Bezier curve
which is one of the effective methods for computer-aided geometric design (CAGD). Then …

Bu çalışmada, doğrultmanı N-Bishop çatısının elemanlarından ve dayanak eğrisi ise asli
normalinin integral eğrisinden oluşan yeni bir regle yüzey tanımlaması yapılmıştır. Daha …

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 …

In this study, alternative, type-1 Bishop, type-2 Bishop and N-Bishop frames of Salkowski
curves in E3 are calculated. Moreover, curvatures, Darboux and pol vectors of these frames …

We consider a timelike sweeping surface with rotation minimizing frames in Minkowski 3-
Space 𝔼 1 3. We introduce a new geometric “invariant”, which demonstrates the geometric …