On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E³₁
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In this paper, the trajectory null scroll in 3-dimensional Minkowski space-time E³₁ is given by a firmly connected null oriented line moving with Cartan frame along null curve. Some theorems and results between curvatures of base curve and distribution pa- rameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of null base curve of trajectory null scroll are found.
Abstract
In this paper, the trajectory null scroll in 3-dimensional Minkowski space-time E³₁ is given by a firmly connected null oriented line moving with Cartan frame along null curve. Some theorems and results between curvatures of base curve and distribution pa- rameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of null base curve of trajectory null scroll are found.
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