Generating Ruled Surfaces by Focal Curves and Their Characterizations in Minkowski 3-Space

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The aim of this paper is to investigate distinct categories of ruled surfaces within three-dimensional Minkowski space. These surfaces are formed through the utilization of focal curves, generated by the Frenet vectors associated with these curves. The study aims to derive various geometric properties and significant findings concerning the curvatures of these surfaces. Furthermore, the paper includes computational examples that not only validate the theoretical results of the study but also provide visual representations through plots.

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