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 …

In this paper, a one-to-one correspondence is given between the tangent bundle of unit 2-
sphere, T 𝕊 2, and the unit dual sphere, 𝕊 𝔻 2. According to Study's map, to each curve on 𝕊 …

According to E. Study map in Minkowski space, we give in this present paper, a one-to-one
correspondence between” the curves on tangent bundles of Lorentzian (or de Sitter) unit …

1. Introduction. One of the most known orthonormal frame on a space curve is the Frenet–
Serret frame, comprising the tangent vector field T, the principal normal vector field N and …

1. Introduction. One of the most known orthonormal frame on a space curve is the Frenet–
Serret frame, comprising the tangent vector field T, the principal normal vector field N and …

arXiv:1706.05321v2 [math.DG] 16 Mar 2018 Page 1 Legendre curves and singularities of a
ruled surface according to rotation minimizing frame Murat Bekar 1,∗, Fouzi Hathout2, Yusuf …

This study aimed to give definitions and relations between strip theory and harmonic
curvatures of the strip in Minkowski space. Previously, the same was done in Euclidean …

In differential geometry, many types of alternative frames have been produced to examine
the properties of the curves. One of these alternative frames is the Bishop frame which was …