engleski

Parametrization of Null Scrolls as B-scrolls in 3-dimensional Lorentz-Minkowski Space

In the Lorentz-Minkowski 3-space, every non- degenerate ruled surface with null rulings can be reparametrized as a B-scroll, i.e. as a ruled surface whose rulings correspond to the binormal vectors of a base curve. In this work we provide such a reparametrization by introducing a proper null frame for a base curve related to the rulings of a surface. By such approach, we can establish relations between lightlike curvature of a base curve and curvatures of a null scroll. It is also shown that every null curve lying on a null scroll can be used as a base curve for such reparametrization.

Null scroll, B-scroll, Lorentz–Minkowski space

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