Abstract
In this paper, we introduce another version of Bishop frame in Minkowski 3-space \({\mathbf {R}}^3_1\) using a common vector field as binormal vector field of a regular spacelike curve and we call this frame as “ type-2 spacelike Bishop frame”. From that point, by translating type-2 spacelike Bishop frame vectors to the center of unit Lorentzian sphere in Minkowski 3-space \({\mathbf {R}}^3_1\), we present a new spherical images and call them as type-2 spacelike Bishop spherical images. Additionally, we obtain the Frenet–Serret apparatus of these new spherical images in terms of base curves type-2 spacelike Bishop invariants. Likewise, we express some intriguing relations and illustrate two examples of our main results.
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